84880465608960 has 1152 divisors, whose sum is σ = 353802546585600. Its totient is φ = 18862938685440.

The previous prime is 84880465608947. The next prime is 84880465608973. The reversal of 84880465608960 is 6980656408848.

84880465608960 is a `hidden beast` number, since 8 + 4 + 8 + 8 + 0 + 4 + 6 + 5 + 608 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84880465608947) and next prime (84880465608973).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16389351651 + ... + 16389356829.

Almost surely, 2^{84880465608960} is an apocalyptic number.

84880465608960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84880465608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176901273292800).

84880465608960 is an abundant number, since it is smaller than the sum of its proper divisors (268922080976640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84880465608960 is a wasteful number, since it uses less digits than its factorization.

84880465608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 84880465608960 in words is "eighty-four trillion, eight hundred eighty billion, four hundred sixty-five million, six hundred eight thousand, nine hundred sixty".