76928237568 has 900 divisors, whose sum is σ = 290223872400. Its totient is φ = 20288765952.

The previous prime is 76928237567. The next prime is 76928237587. The reversal of 76928237568 is 86573282967.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

76928237568 is a `hidden beast` number, since 7 + 69 + 2 + 8 + 2 + 3 + 7 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76928237567) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5917556730 + ... + 5917556742.

Almost surely, 2^76928237568 is an apocalyptic number.

76928237568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76928237568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145111936200).

76928237568 is an abundant number, since it is smaller than the sum of its proper divisors (213295634832).

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

76928237568 is an frugal number, since it uses more digits than its factorization.

76928237568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 25 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

Multiplying 76928237568 by its sum of digits (63), we get a square (4846478966784 = 2201472²).

76928237568 divided by its sum of digits (63) gives a square (1221083136 = 34944²).

The spelling of 76928237568 in words is "seventy-six billion, nine hundred twenty-eight million, two hundred thirty-seven thousand, five hundred sixty-eight".