64986008732100 has 567 divisors, whose sum is σ = 214894162340613. Its totient is φ = 17050420270080.

The previous prime is 64986008732093. The next prime is 64986008732123. The reversal of 64986008732100 is 123780068946.

The square root of 64986008732100 is 8061390.

It is a perfect power (a square), and thus also a powerful number.

64986008732100 is a `hidden beast` number, since 6 + 4 + 9 + 8 + 600 + 8 + 7 + 3 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8577857724804 + 56408151007296 = 2928798^2 + 7510536^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 158889996696 + ... + 158889997104.

Almost surely, 2^{64986008732100} is an apocalyptic number.

64986008732100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64986008732100 is the 8061390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64986008732100

64986008732100 is an abundant number, since it is smaller than the sum of its proper divisors (149908153608513).

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

64986008732100 is an frugal number, since it uses more digits than its factorization.

64986008732100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 64986008732100 in words is "sixty-four trillion, nine hundred eighty-six billion, eight million, seven hundred thirty-two thousand, one hundred".