64195281632400 has 480 divisors, whose sum is σ = 223411551245568. Its totient is φ = 15693019545600.

The previous prime is 64195281632347. The next prime is 64195281632413. The reversal of 64195281632400 is 423618259146.

It is a happy number.

It is a super-3 number, since 3×64195281632400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512650597 + ... + 512775803.

Almost surely, 2^{64195281632400} is an apocalyptic number.

64195281632400 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 64195281632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111705775622784).

64195281632400 is an abundant number, since it is smaller than the sum of its proper divisors (159216269613168).

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

64195281632400 is a wasteful number, since it uses less digits than its factorization.

64195281632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125899 (or 125888 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 64195281632400 in words is "sixty-four trillion, one hundred ninety-five billion, two hundred eighty-one million, six hundred thirty-two thousand, four hundred".