76149264075456 has 224 divisors, whose sum is σ = 236739708188928. Its totient is φ = 21297076162560.

The previous prime is 76149264075421. The next prime is 76149264075481. The reversal of 76149264075456 is 65457046294167.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173384970 + ... + 173823606.

It is an arithmetic number, because the mean of its divisors is an integer number (1056873697272).

Almost surely, 2^{76149264075456} 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 76149264075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118369854094464).

76149264075456 is an abundant number, since it is smaller than the sum of its proper divisors (160590444113472).

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

76149264075456 is a wasteful number, since it uses less digits than its factorization.

76149264075456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444999 (or 444989 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 66.

The spelling of 76149264075456 in words is "seventy-six trillion, one hundred forty-nine billion, two hundred sixty-four million, seventy-five thousand, four hundred fifty-six".