64693301400 has 1536 divisors, whose sum is σ = 297480960000. Its totient is φ = 12615782400.

The previous prime is 64693301363. The next prime is 64693301411. The reversal of 64693301400 is 410339646.

64693301400 is a `hidden beast` number, since 646 + 9 + 3 + 3 + 0 + 1 + 4 + 0 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1577885380 + ... + 1577885420.

It is an arithmetic number, because the mean of its divisors is an integer number (193672500).

Almost surely, 2^64693301400 is an apocalyptic number.

64693301400 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 64693301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480000).

64693301400 is an abundant number, since it is smaller than the sum of its proper divisors (232787658600).

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

64693301400 is a wasteful number, since it uses less digits than its factorization.

64693301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 64693301400 in words is "sixty-four billion, six hundred ninety-three million, three hundred one thousand, four hundred".