64977141505600 has 189 divisors, whose sum is σ = 165611577913977. Its totient is φ = 25091008911360.

The previous prime is 64977141505561. The next prime is 64977141505657. The reversal of 64977141505600 is 650514177946.

The square root of 64977141505600 is 8060840.

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

It can be written as a sum of positive squares in 13 ways, for example, as 13821917870656 + 51155223634944 = 3717784^2 + 7152288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9350570926 + ... + 9350577874.

Almost surely, 2^{64977141505600} is an apocalyptic number.

64977141505600 is the 8060840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64977141505600

64977141505600 is an abundant number, since it is smaller than the sum of its proper divisors (100634436408377).

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

64977141505600 is an frugal number, since it uses more digits than its factorization.

64977141505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13978 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 64977141505600 in words is "sixty-four trillion, nine hundred seventy-seven billion, one hundred forty-one million, five hundred five thousand, six hundred".