76621603968 has 480 divisors, whose sum is σ = 282232906560. Its totient is φ = 20204660736.

The previous prime is 76621603963. The next prime is 76621604021. The reversal of 76621603968 is 86930612667.

76621603968 is a `hidden beast` number, since 7 + 6 + 6 + 21 + 603 + 9 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76621603963) 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, 12262221 + ... + 12268467.

It is an arithmetic number, because the mean of its divisors is an integer number (587985222).

Almost surely, 2^76621603968 is an apocalyptic number.

76621603968 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 76621603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141116453280).

76621603968 is an abundant number, since it is smaller than the sum of its proper divisors (205611302592).

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

76621603968 is a wasteful number, since it uses less digits than its factorization.

76621603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 76621603968 in words is "seventy-six billion, six hundred twenty-one million, six hundred three thousand, nine hundred sixty-eight".