70798735687680 has 8640 divisors, whose sum is σ = 383761567687680. Its totient is φ = 12108284559360.

The previous prime is 70798735687651. The next prime is 70798735687703. The reversal of 70798735687680 is 8678653789707.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a super-3 number, since 3×70798735687680³ (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 70798735687680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3726249246711 + ... + 3726249246729.

It is an arithmetic number, because the mean of its divisors is an integer number (44416848112).

Almost surely, 2^{70798735687680} is an apocalyptic number.

70798735687680 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 70798735687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191880783843840).

70798735687680 is an abundant number, since it is smaller than the sum of its proper divisors (312962832000000).

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

70798735687680 is a wasteful number, since it uses less digits than its factorization.

70798735687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5974456320, while the sum is 81.

The spelling of 70798735687680 in words is "seventy trillion, seven hundred ninety-eight billion, seven hundred thirty-five million, six hundred eighty-seven thousand, six hundred eighty".