64199397376 has 117 divisors (see below), whose sum is σ = 133191385509. Its totient is φ = 30940250112.

The previous prime is 64199397347. The next prime is 64199397377. The reversal of 64199397376 is 67379399146.

The square root of 64199397376 is 253376.

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

It can be written as a sum of positive squares in only one way, i.e., 57446502400 + 6752894976 = 239680^2 + 82176^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64199397377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 599994315 + ... + 599994421.

Almost surely, 2^64199397376 is an apocalyptic number.

64199397376 is the 253376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64199397376

64199397376 is an abundant number, since it is smaller than the sum of its proper divisors (68991988133).

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

64199397376 is an frugal number, since it uses more digits than its factorization.

64199397376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 146 counting only the distinct ones).

The product of its digits is 46294416, while the sum is 64.

Multiplying 64199397376 by its sum of digits (64), we get a square (4108761432064 = 2027008²).

64199397376 divided by its sum of digits (64) gives a square (1003115584 = 31672²).

The spelling of 64199397376 in words is "sixty-four billion, one hundred ninety-nine million, three hundred ninety-seven thousand, three hundred seventy-six".