64512518400 has 648 divisors, whose sum is σ = 260365210560. Its totient is φ = 15095808000.

The previous prime is 64512518387. The next prime is 64512518453. The reversal of 64512518400 is 481521546.

It is a happy number.

64512518400 is a `hidden beast` number, since 6 + 451 + 25 + 184 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18372645 + ... + 18376155.

Almost surely, 2^64512518400 is an apocalyptic number.

64512518400 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 64512518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130182605280).

64512518400 is an abundant number, since it is smaller than the sum of its proper divisors (195852692160).

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

64512518400 is a wasteful number, since it uses less digits than its factorization.

64512518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 64512518400 in words is "sixty-four billion, five hundred twelve million, five hundred eighteen thousand, four hundred".