70766535168 has 400 divisors, whose sum is σ = 247051062720. Its totient is φ = 19745316864.

The previous prime is 70766535127. The next prime is 70766535199. The reversal of 70766535168 is 86153566707.

70766535168 is a `hidden beast` number, since 7 + 0 + 76 + 6 + 53 + 516 + 8 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 12480238 + ... + 12485906.

Almost surely, 2^70766535168 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 70766535168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123525531360).

70766535168 is an abundant number, since it is smaller than the sum of its proper divisors (176284527552).

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

70766535168 is an equidigital number, since it uses as much as digits as its factorization.

70766535168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 70766535168 in words is "seventy billion, seven hundred sixty-six million, five hundred thirty-five thousand, one hundred sixty-eight".