64869976953600 has 1728 divisors, whose sum is σ = 270206659666944. Its totient is φ = 13339306229760.

The previous prime is 64869976953583. The next prime is 64869976953611. The reversal of 64869976953600 is 635967996846.

It is a super-2 number, since 2×64869976953600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58075180242 + ... + 58075181358.

Almost surely, 2^{64869976953600} is an apocalyptic number.

64869976953600 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 64869976953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135103329833472).

64869976953600 is an abundant number, since it is smaller than the sum of its proper divisors (205336682713344).

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

64869976953600 is a wasteful number, since it uses less digits than its factorization.

64869976953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 78.

The spelling of 64869976953600 in words is "sixty-four trillion, eight hundred sixty-nine billion, nine hundred seventy-six million, nine hundred fifty-three thousand, six hundred".