76928237568000 has 4320 divisors, whose sum is σ = 362209064817600. Its totient is φ = 16231012761600.

The previous prime is 76928237567989. The next prime is 76928237568059. The reversal of 76928237568000 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.

76928237568000 is a `hidden beast` number, since 7 + 69 + 2 + 8 + 2 + 3 + 7 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 239 ways as a sum of consecutive naturals, for example, 5917556735994 + ... + 5917556736006.

It is an arithmetic number, because the mean of its divisors is an integer number (83844690930).

Almost surely, 2^{76928237568000} is an apocalyptic number.

76928237568000 is a gapful number since it is divisible by the number (70) 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 76928237568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181104532408800).

76928237568000 is an abundant number, since it is smaller than the sum of its proper divisors (285280827249600).

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

76928237568000 is an frugal number, since it uses more digits than its factorization.

76928237568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 30 counting only the distinct ones).

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

The spelling of 76928237568000 in words is "seventy-six trillion, nine hundred twenty-eight billion, two hundred thirty-seven million, five hundred sixty-eight thousand".