76868264088 has 384 divisors, whose sum is σ = 269365824000. Its totient is φ = 19731755520.

The previous prime is 76868264063. The next prime is 76868264093. The reversal of 76868264088 is 88046286867.

76868264088 is a `hidden beast` number, since 76 + 86 + 82 + 6 + 408 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197604598 + ... + 197604986.

It is an arithmetic number, because the mean of its divisors is an integer number (701473500).

Almost surely, 2^76868264088 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 76868264088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134682912000).

76868264088 is an abundant number, since it is smaller than the sum of its proper divisors (192497559912).

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

76868264088 is a wasteful number, since it uses less digits than its factorization.

76868264088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 76868264088 in words is "seventy-six billion, eight hundred sixty-eight million, two hundred sixty-four thousand, eighty-eight".