64513740215700 has 432 divisors, whose sum is σ = 207538096461696. Its totient is φ = 16753255142400.

The previous prime is 64513740215681. The next prime is 64513740215711. The reversal of 64513740215700 is 751204731546.

64513740215700 is a `hidden beast` number, since 6 + 4 + 5 + 1 + 3 + 74 + 0 + 2 + 1 + 570 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32305327102 + ... + 32305329098.

It is an arithmetic number, because the mean of its divisors is an integer number (480412260328).

Almost surely, 2^{64513740215700} is an apocalyptic number.

64513740215700 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 64513740215700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103769048230848).

64513740215700 is an abundant number, since it is smaller than the sum of its proper divisors (143024356245996).

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

64513740215700 is a wasteful number, since it uses less digits than its factorization.

64513740215700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 64513740215700 in words is "sixty-four trillion, five hundred thirteen billion, seven hundred forty million, two hundred fifteen thousand, seven hundred".