76214121984 has 1440 divisors, whose sum is σ = 314007902208. Its totient is φ = 17252352000.

The previous prime is 76214121947. The next prime is 76214122009. The reversal of 76214121984 is 48912141267.

76214121984 is a `hidden beast` number, since 7 + 621 + 4 + 1 + 2 + 19 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (193536) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1858881004 + ... + 1858881044.

Almost surely, 2^76214121984 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 76214121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157003951104).

76214121984 is an abundant number, since it is smaller than the sum of its proper divisors (237793780224).

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

76214121984 is a wasteful number, since it uses less digits than its factorization.

76214121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 76214121984 in words is "seventy-six billion, two hundred fourteen million, one hundred twenty-one thousand, nine hundred eighty-four".