76229000496 has 480 divisors, whose sum is σ = 250698240000. Its totient is φ = 21395404800.

The previous prime is 76229000437. The next prime is 76229000611. The reversal of 76229000496 is 69400092267.

76229000496 is a `hidden beast` number, since 76 + 2 + 2 + 90 + 0 + 0 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283379050 + ... + 283379318.

It is an arithmetic number, because the mean of its divisors is an integer number (522288000).

Almost surely, 2^76229000496 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 76229000496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120000).

76229000496 is an abundant number, since it is smaller than the sum of its proper divisors (174469239504).

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

76229000496 is a wasteful number, since it uses less digits than its factorization.

76229000496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 76229000496 in words is "seventy-six billion, two hundred twenty-nine million, four hundred ninety-six", and thus it is an aban number.