70481746802688 has 768 divisors, whose sum is σ = 209030856128640. Its totient is φ = 20985484935168.

The previous prime is 70481746802683. The next prime is 70481746802717. The reversal of 70481746802688 is 88620864718407.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×70481746802688² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70481746802683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114978379470 + ... + 114978380082.

Almost surely, 2^{70481746802688} is an apocalyptic number.

70481746802688 is a gapful number since it is divisible by the number (78) 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 70481746802688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104515428064320).

70481746802688 is an abundant number, since it is smaller than the sum of its proper divisors (138549109325952).

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

70481746802688 is a wasteful number, since it uses less digits than its factorization.

70481746802688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 69.

The spelling of 70481746802688 in words is "seventy trillion, four hundred eighty-one billion, seven hundred forty-six million, eight hundred two thousand, six hundred eighty-eight".