76123368238896 has 360 divisors, whose sum is σ = 242879561713152. Its totient is φ = 23063975510400.

The previous prime is 76123368238849. The next prime is 76123368238901. The reversal of 76123368238896 is 69883286332167.

76123368238896 is a `hidden beast` number, since 7 + 6 + 1 + 23 + 368 + 238 + 8 + 9 + 6 = 666.

76123368238896 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4820672761 + ... + 4820688551.

Almost surely, 2^{76123368238896} 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 76123368238896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121439780856576).

76123368238896 is an abundant number, since it is smaller than the sum of its proper divisors (166756193474256).

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

76123368238896 is a wasteful number, since it uses less digits than its factorization.

76123368238896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26083 (or 26054 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 76123368238896 in words is "seventy-six trillion, one hundred twenty-three billion, three hundred sixty-eight million, two hundred thirty-eight thousand, eight hundred ninety-six".