76124670336 has 384 divisors, whose sum is σ = 259308635040. Its totient is φ = 21131919360.

The previous prime is 76124670329. The next prime is 76124670359. The reversal of 76124670336 is 63307642167.

76124670336 is a `hidden beast` number, since 7 + 6 + 1 + 246 + 70 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 76124670291 and 76124670300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22567146 + ... + 22570518.

Almost surely, 2^76124670336 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 76124670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129654317520).

76124670336 is an abundant number, since it is smaller than the sum of its proper divisors (183183964704).

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

76124670336 is a wasteful number, since it uses less digits than its factorization.

76124670336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 76124670336 in words is "seventy-six billion, one hundred twenty-four million, six hundred seventy thousand, three hundred thirty-six".