76551709440 has 288 divisors, whose sum is σ = 253581060096. Its totient is φ = 19665469440.

The previous prime is 76551709433. The next prime is 76551709453. The reversal of 76551709440 is 4490715567.

It is a super-2 number, since 2×76551709440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76551709440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14631625 + ... + 14636855.

It is an arithmetic number, because the mean of its divisors is an integer number (880489792).

Almost surely, 2^76551709440 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 76551709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126790530048).

76551709440 is an abundant number, since it is smaller than the sum of its proper divisors (177029350656).

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

76551709440 is a wasteful number, since it uses less digits than its factorization.

76551709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 76551709440 in words is "seventy-six billion, five hundred fifty-one million, seven hundred nine thousand, four hundred forty".