64617640000 has 315 divisors, whose sum is σ = 169702906593. Its totient is φ = 24403200000.

The previous prime is 64617639997. The next prime is 64617640001. The reversal of 64617640000 is 4671646.

It is a happy number.

The square root of 64617640000 is 254200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 64365719616 + 251920384 = 253704^2 + 15872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64617640001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1576039980 + ... + 1576040020.

Almost surely, 2^64617640000 is an apocalyptic number.

64617640000 is the 254200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64617640000

64617640000 is an abundant number, since it is smaller than the sum of its proper divisors (105085266593).

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

64617640000 is an frugal number, since it uses more digits than its factorization.

64617640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 64617640000 in words is "sixty-four billion, six hundred seventeen million, six hundred forty thousand".