76502140704 has 144 divisors (see below), whose sum is σ = 237474042624. Its totient is φ = 23168448000.

The previous prime is 76502140699. The next prime is 76502140739. The reversal of 76502140704 is 40704120567.

76502140704 is a `hidden beast` number, since 7 + 6 + 502 + 140 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×76502140704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6016017 + ... + 6028719.

It is an arithmetic number, because the mean of its divisors is an integer number (1649125296).

Almost surely, 2^76502140704 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 76502140704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118737021312).

76502140704 is an abundant number, since it is smaller than the sum of its proper divisors (160971901920).

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

76502140704 is a wasteful number, since it uses less digits than its factorization.

76502140704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14631 (or 14620 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 76502140704 in words is "seventy-six billion, five hundred two million, one hundred forty thousand, seven hundred four".