76053641472 has 576 divisors, whose sum is σ = 251763240960. Its totient is φ = 22523314176.

The previous prime is 76053641467. The next prime is 76053641623. The reversal of 76053641472 is 27414635067.

76053641472 is a `hidden beast` number, since 7 + 6 + 0 + 536 + 41 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 289177213 + ... + 289177475.

It is an arithmetic number, because the mean of its divisors is an integer number (437088960).

Almost surely, 2^76053641472 is an apocalyptic number.

76053641472 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 76053641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125881620480).

76053641472 is an abundant number, since it is smaller than the sum of its proper divisors (175709599488).

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

76053641472 is a wasteful number, since it uses less digits than its factorization.

76053641472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 76053641472 in words is "seventy-six billion, fifty-three million, six hundred forty-one thousand, four hundred seventy-two".