76286166264 has 432 divisors, whose sum is σ = 265454476560. Its totient is φ = 19776556800.

The previous prime is 76286166233. The next prime is 76286166301. The reversal of 76286166264 is 46266168267.

76286166264 is a `hidden beast` number, since 7 + 6 + 2 + 8 + 6 + 1 + 6 + 626 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76286166264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146422324 + ... + 146422844.

It is an arithmetic number, because the mean of its divisors is an integer number (614477955).

Almost surely, 2^76286166264 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 76286166264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132727238280).

76286166264 is an abundant number, since it is smaller than the sum of its proper divisors (189168310296).

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

76286166264 is a wasteful number, since it uses less digits than its factorization.

76286166264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 544 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 76286166264 in words is "seventy-six billion, two hundred eighty-six million, one hundred sixty-six thousand, two hundred sixty-four".