76057667712 has 640 divisors, whose sum is σ = 255449779200. Its totient is φ = 22305300480.

The previous prime is 76057667711. The next prime is 76057667731. The reversal of 76057667712 is 21776675067.

76057667712 is a `hidden beast` number, since 7 + 6 + 0 + 576 + 67 + 7 + 1 + 2 = 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 (76057667711) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 455435053 + ... + 455435219.

It is an arithmetic number, because the mean of its divisors is an integer number (399140280).

Almost surely, 2^76057667712 is an apocalyptic number.

76057667712 is a gapful number since it is divisible by the number (72) 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 76057667712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127724889600).

76057667712 is an abundant number, since it is smaller than the sum of its proper divisors (179392111488).

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

76057667712 is a wasteful number, since it uses less digits than its factorization.

76057667712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 76057667712 in words is "seventy-six billion, fifty-seven million, six hundred sixty-seven thousand, seven hundred twelve".