76551640440 has 256 divisors, whose sum is σ = 252886233600. Its totient is φ = 18384537600.

The previous prime is 76551640423. The next prime is 76551640463. The reversal of 76551640440 is 4404615567.

It is a junction number, because it is equal to n+sod(n) for n = 76551640392 and 76551640401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89116731 + ... + 89117589.

It is an arithmetic number, because the mean of its divisors is an integer number (987836850).

Almost surely, 2^76551640440 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 76551640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126443116800).

76551640440 is an abundant number, since it is smaller than the sum of its proper divisors (176334593160).

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

76551640440 is a wasteful number, since it uses less digits than its factorization.

76551640440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 76551640440 in words is "seventy-six billion, five hundred fifty-one million, six hundred forty thousand, four hundred forty".