76515449472 has 512 divisors, whose sum is σ = 282855628800. Its totient is φ = 19782144000.

The previous prime is 76515449453. The next prime is 76515449501. The reversal of 76515449472 is 27494451567.

76515449472 is a `hidden beast` number, since 7 + 6 + 5 + 1 + 544 + 94 + 7 + 2 = 666.

It is a super-2 number, since 2×76515449472² (a number of 23 digits) contains 22 as substring.

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

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, 72115822 + ... + 72116882.

It is an arithmetic number, because the mean of its divisors is an integer number (552452400).

Almost surely, 2^76515449472 is an apocalyptic number.

76515449472 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 76515449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141427814400).

76515449472 is an abundant number, since it is smaller than the sum of its proper divisors (206340179328).

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

76515449472 is a wasteful number, since it uses less digits than its factorization.

76515449472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1355 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 76515449472 in words is "seventy-six billion, five hundred fifteen million, four hundred forty-nine thousand, four hundred seventy-two".