76172144640 has 208 divisors, whose sum is σ = 245034878976. Its totient is φ = 20203110400.

The previous prime is 76172144593. The next prime is 76172144669. The reversal of 76172144640 is 4644127167.

It is a junction number, because it is equal to n+sod(n) for n = 76172144592 and 76172144601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11731795 + ... + 11738285.

Almost surely, 2^76172144640 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 76172144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122517439488).

76172144640 is an abundant number, since it is smaller than the sum of its proper divisors (168862734336).

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

76172144640 is a wasteful number, since it uses less digits than its factorization.

76172144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 76172144640 in words is "seventy-six billion, one hundred seventy-two million, one hundred forty-four thousand, six hundred forty".