64001315700 has 1512 divisors, whose sum is σ = 272549430720. Its totient is φ = 12933043200.

The previous prime is 64001315657. The next prime is 64001315731. The reversal of 64001315700 is 751310046.

64001315700 is a `hidden beast` number, since 64 + 0 + 0 + 1 + 31 + 570 + 0 = 666.

It is a super-2 number, since 2×64001315700² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1561007680 + ... + 1561007720.

It is an arithmetic number, because the mean of its divisors is an integer number (180257560).

Almost surely, 2^64001315700 is an apocalyptic number.

64001315700 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 64001315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136274715360).

64001315700 is an abundant number, since it is smaller than the sum of its proper divisors (208548115020).

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

64001315700 is a wasteful number, since it uses less digits than its factorization.

64001315700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 64001315700 its reverse (751310046), we get a palindrome (64752625746).

The spelling of 64001315700 in words is "sixty-four billion, one million, three hundred fifteen thousand, seven hundred".