635674542720 has 1024 divisors, whose sum is σ = 2603512627200. Its totient is φ = 128421199872.

The previous prime is 635674542719. The next prime is 635674542749. The reversal of 635674542720 is 27245476536.

It is a super-2 number, since 2×635674542720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 551321664 + ... + 551322816.

It is an arithmetic number, because the mean of its divisors is an integer number (2542492800).

Almost surely, 2^635674542720 is an apocalyptic number.

635674542720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635674542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301756313600).

635674542720 is an abundant number, since it is smaller than the sum of its proper divisors (1967838084480).

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

635674542720 is a wasteful number, since it uses less digits than its factorization.

635674542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 51.

The spelling of 635674542720 in words is "six hundred thirty-five billion, six hundred seventy-four million, five hundred forty-two thousand, seven hundred twenty".