64537977312 has 288 divisors, whose sum is σ = 202337291520. Its totient is φ = 20177786880.

The previous prime is 64537977281. The next prime is 64537977341. The reversal of 64537977312 is 21377973546.

64537977312 is a `hidden beast` number, since 6 + 4 + 537 + 9 + 77 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15215512 + ... + 15219752.

It is an arithmetic number, because the mean of its divisors is an integer number (702560040).

Almost surely, 2^64537977312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64537977312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101168645760).

64537977312 is an abundant number, since it is smaller than the sum of its proper divisors (137799314208).

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

64537977312 is a wasteful number, since it uses less digits than its factorization.

64537977312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4368 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The spelling of 64537977312 in words is "sixty-four billion, five hundred thirty-seven million, nine hundred seventy-seven thousand, three hundred twelve".