634849280400 has 120 divisors (see below), whose sum is σ = 2042515242880. Its totient is φ = 168553797120.

The previous prime is 634849280371. The next prime is 634849280419. The reversal of 634849280400 is 4082948436.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 634849280400.

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, 880312 + ... + 1429911.

Almost surely, 2^634849280400 is an apocalyptic number.

634849280400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

634849280400 is an abundant number, since it is smaller than the sum of its proper divisors (1407665962480).

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

634849280400 is a wasteful number, since it uses less digits than its factorization.

634849280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310473 (or 2310462 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 634849280400 in words is "six hundred thirty-four billion, eight hundred forty-nine million, two hundred eighty thousand, four hundred".