64952231400 has 960 divisors, whose sum is σ = 267760183680. Its totient is φ = 14287104000.

The previous prime is 64952231389. The next prime is 64952231441. The reversal of 64952231400 is 413225946.

It is a happy number.

64952231400 is a `hidden beast` number, since 6 + 495 + 2 + 23 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 607030147 + ... + 607030253.

It is an arithmetic number, because the mean of its divisors is an integer number (278916858).

Almost surely, 2^64952231400 is an apocalyptic number.

64952231400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64952231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133880091840).

64952231400 is an abundant number, since it is smaller than the sum of its proper divisors (202807952280).

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

64952231400 is a wasteful number, since it uses less digits than its factorization.

64952231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64952231400 in words is "sixty-four billion, nine hundred fifty-two million, two hundred thirty-one thousand, four hundred".