76466448264 has 128 divisors (see below), whose sum is σ = 197323776000. Its totient is φ = 24682944000.

The previous prime is 76466448193. The next prime is 76466448269. The reversal of 76466448264 is 46284466467.

It is a super-2 number, since 2×76466448264² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76466448269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39192489 + ... + 39194439.

It is an arithmetic number, because the mean of its divisors is an integer number (1541592000).

Almost surely, 2^76466448264 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 76466448264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98661888000).

76466448264 is an abundant number, since it is smaller than the sum of its proper divisors (120857327736).

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

76466448264 is a wasteful number, since it uses less digits than its factorization.

76466448264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2415 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 57.

The spelling of 76466448264 in words is "seventy-six billion, four hundred sixty-six million, four hundred forty-eight thousand, two hundred sixty-four".