64349510400 has 1296 divisors, whose sum is σ = 285630718464. Its totient is φ = 14014218240.

The previous prime is 64349510371. The next prime is 64349510431. The reversal of 64349510400 is 401594346.

64349510400 is a `hidden beast` number, since 64 + 3 + 49 + 510 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 250387072 + ... + 250387328.

Almost surely, 2^64349510400 is an apocalyptic number.

64349510400 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 64349510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142815359232).

64349510400 is an abundant number, since it is smaller than the sum of its proper divisors (221281208064).

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

64349510400 is a wasteful number, since it uses less digits than its factorization.

64349510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64349510400 in words is "sixty-four billion, three hundred forty-nine million, five hundred ten thousand, four hundred".