635478640272 has 400 divisors, whose sum is σ = 2150015104512. Its totient is φ = 177445831680.

The previous prime is 635478640217. The next prime is 635478640283. The reversal of 635478640272 is 272046874536.

635478640272 is a `hidden beast` number, since 63 + 5 + 478 + 6 + 40 + 2 + 72 = 666.

635478640272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 130298698 + ... + 130303574.

Almost surely, 2^635478640272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635478640272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075007552256).

635478640272 is an abundant number, since it is smaller than the sum of its proper divisors (1514536464240).

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

635478640272 is a wasteful number, since it uses less digits than its factorization.

635478640272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 635478640272 in words is "six hundred thirty-five billion, four hundred seventy-eight million, six hundred forty thousand, two hundred seventy-two".