64337272400 has 120 divisors (see below), whose sum is σ = 161745087384. Its totient is φ = 24566630400.

The previous prime is 64337272381. The next prime is 64337272423. The reversal of 64337272400 is 427273346.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1392483856 + 62944788544 = 37316^2 + 250888^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743390 + ... + 825410.

Almost surely, 2^64337272400 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 64337272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80872543692).

64337272400 is an abundant number, since it is smaller than the sum of its proper divisors (97407814984).

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

64337272400 is a wasteful number, since it uses less digits than its factorization.

64337272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82129 (or 82118 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 38.

The spelling of 64337272400 in words is "sixty-four billion, three hundred thirty-seven million, two hundred seventy-two thousand, four hundred".