78465546132480 has 1760 divisors, whose sum is σ = 324169575206400. Its totient is φ = 17986516549632.

The previous prime is 78465546132433. The next prime is 78465546132503. The reversal of 78465546132480 is 8423164556487.

78465546132480 is a `hidden beast` number, since 7 + 8 + 4 + 6 + 5 + 5 + 4 + 613 + 2 + 4 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6043708069 + ... + 6043721051.

It is an arithmetic number, because the mean of its divisors is an integer number (184187258640).

Almost surely, 2^{78465546132480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78465546132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162084787603200).

78465546132480 is an abundant number, since it is smaller than the sum of its proper divisors (245704029073920).

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

78465546132480 is a wasteful number, since it uses less digits than its factorization.

78465546132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13111 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 78465546132480 in words is "seventy-eight trillion, four hundred sixty-five billion, five hundred forty-six million, one hundred thirty-two thousand, four hundred eighty".