635641361640 has 96 divisors (see below), whose sum is σ = 2065986042120. Its totient is φ = 169491922944.

The previous prime is 635641361623. The next prime is 635641361669. The reversal of 635641361640 is 46163146536.

635641361640 is a `hidden beast` number, since 6 + 3 + 564 + 1 + 36 + 16 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 316183539204 + 319457822436 = 562302^2 + 565206^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5513224 + ... + 5627336.

Almost surely, 2^635641361640 is an apocalyptic number.

635641361640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

635641361640 is an abundant number, since it is smaller than the sum of its proper divisors (1430344680480).

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

635641361640 is a wasteful number, since it uses less digits than its factorization.

635641361640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129603 (or 129596 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 635641361640 in words is "six hundred thirty-five billion, six hundred forty-one million, three hundred sixty-one thousand, six hundred forty".