635795014680576 has 783 divisors, whose sum is σ = 2012955067992531. Its totient is φ = 200777373057024.

The previous prime is 635795014680517. The next prime is 635795014680607. The reversal of 635795014680576 is 675086410597536.

The square root of 635795014680576 is 25214976.

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

635795014680576 is a `hidden beast` number, since 6 + 3 + 5 + 7 + 9 + 5 + 0 + 1 + 46 + 8 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 33462895509495 + ... + 33462895509513.

Almost surely, 2^{635795014680576} is an apocalyptic number.

635795014680576 is the 25214976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635795014680576

635795014680576 is an abundant number, since it is smaller than the sum of its proper divisors (1377160053311955).

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

635795014680576 is an frugal number, since it uses more digits than its factorization.

635795014680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 635795014680576 in words is "six hundred thirty-five trillion, seven hundred ninety-five billion, fourteen million, six hundred eighty thousand, five hundred seventy-six".