76531845406464 has 576 divisors, whose sum is σ = 263864830279680. Its totient is φ = 21429014261760.

The previous prime is 76531845406403. The next prime is 76531845406507. The reversal of 76531845406464 is 46460454813567.

76531845406464 is a `hidden beast` number, since 7 + 6 + 5 + 3 + 1 + 84 + 540 + 6 + 4 + 6 + 4 = 666.

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

It is a super-2 number, since 2×76531845406464² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 573622387 + ... + 573755789.

It is an arithmetic number, because the mean of its divisors is an integer number (458098663680).

Almost surely, 2^{76531845406464} 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 76531845406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131932415139840).

76531845406464 is an abundant number, since it is smaller than the sum of its proper divisors (187332984873216).

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

76531845406464 is a wasteful number, since it uses less digits than its factorization.

76531845406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133673 (or 133653 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 76531845406464 in words is "seventy-six trillion, five hundred thirty-one billion, eight hundred forty-five million, four hundred six thousand, four hundred sixty-four".