76490072064 has 448 divisors, whose sum is σ = 261708595200. Its totient is φ = 21626486784.

The previous prime is 76490072063. The next prime is 76490072069. The reversal of 76490072064 is 46027009467.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×76490072064² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76490072063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196632382 + ... + 196632770.

Almost surely, 2^76490072064 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 76490072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130854297600).

76490072064 is an abundant number, since it is smaller than the sum of its proper divisors (185218523136).

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

76490072064 is a wasteful number, since it uses less digits than its factorization.

76490072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 76490072064 in words is "seventy-six billion, four hundred ninety million, seventy-two thousand, sixty-four".