76642009488 has 280 divisors, whose sum is σ = 243518476320. Its totient is φ = 23163770880.

The previous prime is 76642009471. The next prime is 76642009513. The reversal of 76642009488 is 88490024667.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82499008 + ... + 82499936.

It is an arithmetic number, because the mean of its divisors is an integer number (869708844).

Almost surely, 2^76642009488 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 76642009488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121759238160).

76642009488 is an abundant number, since it is smaller than the sum of its proper divisors (166876466832).

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

76642009488 is a wasteful number, since it uses less digits than its factorization.

76642009488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 76642009488 in words is "seventy-six billion, six hundred forty-two million, nine thousand, four hundred eighty-eight".