70097748295680 has 1088 divisors, whose sum is σ = 285885606021120. Its totient is φ = 15963525218304.

The previous prime is 70097748295633. The next prime is 70097748295717. The reversal of 70097748295680 is 8659284779007.

70097748295680 is a `hidden beast` number, since 7 + 0 + 0 + 97 + 7 + 482 + 9 + 56 + 8 + 0 = 666.

It is a super-3 number, since 3×70097748295680³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 70097748295599 and 70097748295608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18145933429 + ... + 18145937291.

Almost surely, 2^{70097748295680} is an apocalyptic number.

70097748295680 is a gapful number since it is divisible by the number (70) 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 70097748295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142942803010560).

70097748295680 is an abundant number, since it is smaller than the sum of its proper divisors (215787857725440).

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

70097748295680 is an equidigital number, since it uses as much as digits as its factorization.

70097748295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 70097748295680 in words is "seventy trillion, ninety-seven billion, seven hundred forty-eight million, two hundred ninety-five thousand, six hundred eighty".