64749891600 has 135 divisors (see below), whose sum is σ = 224753105239. Its totient is φ = 17262566400.

The previous prime is 64749891581. The next prime is 64749891623. The reversal of 64749891600 is 619894746.

The square root of 64749891600 is 254460.

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

64749891600 is a `hidden beast` number, since 6 + 4 + 7 + 498 + 91 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16018446096 + 48731445504 = 126564^2 + 220752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15265480 + ... + 15269720.

Almost surely, 2^64749891600 is an apocalyptic number.

64749891600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64749891600 is the 254460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64749891600

64749891600 is an abundant number, since it is smaller than the sum of its proper divisors (160003213639).

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

64749891600 is an equidigital number, since it uses as much as digits as its factorization.

64749891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 64749891600 in words is "sixty-four billion, seven hundred forty-nine million, eight hundred ninety-one thousand, six hundred".