64724436806400 has 2592 divisors, whose sum is σ = 296140220812800. Its totient is φ = 13749261926400.

The previous prime is 64724436806389. The next prime is 64724436806413. The reversal of 64724436806400 is 460863442746.

64724436806400 is a `hidden beast` number, since 6 + 4 + 72 + 4 + 436 + 80 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8526466605 + ... + 8526474195.

It is an arithmetic number, because the mean of its divisors is an integer number (114251628400).

Almost surely, 2^{64724436806400} is an apocalyptic number.

64724436806400 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 64724436806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148070110406400).

64724436806400 is an abundant number, since it is smaller than the sum of its proper divisors (231415784006400).

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

64724436806400 is a wasteful number, since it uses less digits than its factorization.

64724436806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 64724436806400 in words is "sixty-four trillion, seven hundred twenty-four billion, four hundred thirty-six million, eight hundred six thousand, four hundred".