64515225600 has 1152 divisors, whose sum is σ = 277857216000. Its totient is φ = 14368112640.

The previous prime is 64515225583. The next prime is 64515225631. The reversal of 64515225600 is 652251546.

64515225600 is a `hidden beast` number, since 6 + 45 + 1 + 5 + 2 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 570931144 + ... + 570931256.

It is an arithmetic number, because the mean of its divisors is an integer number (241195500).

Almost surely, 2^64515225600 is an apocalyptic number.

64515225600 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 64515225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608000).

64515225600 is an abundant number, since it is smaller than the sum of its proper divisors (213341990400).

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

64515225600 is a wasteful number, since it uses less digits than its factorization.

64515225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 64515225600 in words is "sixty-four billion, five hundred fifteen million, two hundred twenty-five thousand, six hundred".