64963814400 has 693 divisors, whose sum is σ = 245598452041. Its totient is φ = 17030062080.

The previous prime is 64963814353. The next prime is 64963814401. The reversal of 64963814400 is 441836946.

The square root of 64963814400 is 254880.

It is a perfect power (a square), and thus also a powerful number.

64963814400 is a `hidden beast` number, since 6 + 4 + 9 + 638 + 1 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23386973184 + 41576841216 = 152928^2 + 203904^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64963814401) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1101081571 + ... + 1101081629.

Almost surely, 2^64963814400 is an apocalyptic number.

64963814400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64963814400 is the 254880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64963814400

64963814400 is an abundant number, since it is smaller than the sum of its proper divisors (180634637641).

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

64963814400 is an frugal number, since it uses more digits than its factorization.

64963814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 64963814400 in words is "sixty-four billion, nine hundred sixty-three million, eight hundred fourteen thousand, four hundred".