76229074944 has 896 divisors, whose sum is σ = 277436275200. Its totient is φ = 20384317440.

The previous prime is 76229074937. The next prime is 76229074951. The reversal of 76229074944 is 44947092267.

76229074944 is a `hidden beast` number, since 7 + 62 + 2 + 90 + 7 + 494 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (76229074937) and next prime (76229074951).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785866704 + ... + 785866800.

It is an arithmetic number, because the mean of its divisors is an integer number (309638700).

Almost surely, 2^76229074944 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 76229074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138718137600).

76229074944 is an abundant number, since it is smaller than the sum of its proper divisors (201207200256).

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

76229074944 is a wasteful number, since it uses less digits than its factorization.

76229074944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 76229074944 in words is "seventy-six billion, two hundred twenty-nine million, seventy-four thousand, nine hundred forty-four".