754664364480 has 896 divisors, whose sum is σ = 2846717395200. Its totient is φ = 167594950656.

The previous prime is 754664364479. The next prime is 754664364523. The reversal of 754664364480 is 84463466457.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 754664364480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1064406366 + ... + 1064407074.

It is an arithmetic number, because the mean of its divisors is an integer number (3177139950).

Almost surely, 2^754664364480 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 754664364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423358697600).

754664364480 is an abundant number, since it is smaller than the sum of its proper divisors (2092053030720).

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

754664364480 is a wasteful number, since it uses less digits than its factorization.

754664364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 57.

The spelling of 754664364480 in words is "seven hundred fifty-four billion, six hundred sixty-four million, three hundred sixty-four thousand, four hundred eighty".