70919746560 has 1408 divisors, whose sum is σ = 299327078400. Its totient is φ = 15765995520.

The previous prime is 70919746489. The next prime is 70919746603. The reversal of 70919746560 is 6564791907.

70919746560 is a `hidden beast` number, since 7 + 0 + 9 + 1 + 9 + 74 + 6 + 560 = 666.

It is a super-2 number, since 2×70919746560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 70919746497 and 70919746506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1058503647 + ... + 1058503713.

Almost surely, 2^70919746560 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 70919746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149663539200).

70919746560 is an abundant number, since it is smaller than the sum of its proper divisors (228407331840).

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

70919746560 is a wasteful number, since it uses less digits than its factorization.

70919746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 70919746560 in words is "seventy billion, nine hundred nineteen million, seven hundred forty-six thousand, five hundred sixty".