64401792 has 256 divisors, whose sum is σ = 223910400. Its totient is φ = 15925248.

The previous prime is 64401769. The next prime is 64401829. The reversal of 64401792 is 29710446.

It is a happy number.

It is a super-2 number, since 2×64401792² = 8295181625622528, which contains 22 as substring.

It is a congruent number.

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, 663888 + ... + 663984.

It is an arithmetic number, because the mean of its divisors is an integer number (874650).

Almost surely, 2^64401792 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 64401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111955200).

64401792 is an abundant number, since it is smaller than the sum of its proper divisors (159508608).

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

64401792 is a wasteful number, since it uses less digits than its factorization.

64401792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 64401792 is about 8025.0727099510. The cubic root of 64401792 is about 400.8353210492.

It can be divided in two parts, 64 and 401792, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 64401792 in words is "sixty-four million, four hundred one thousand, seven hundred ninety-two".