635374786816 has 243 divisors, whose sum is σ = 1624155918987. Its totient is φ = 247166008320.

The previous prime is 635374786799. The next prime is 635374786831. The reversal of 635374786816 is 618687473536.

The square root of 635374786816 is 797104.

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

It is a super-2 number, since 2×635374786816² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 982031805 + ... + 982032451.

Almost surely, 2^635374786816 is an apocalyptic number.

635374786816 is the 797104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635374786816

635374786816 is an abundant number, since it is smaller than the sum of its proper divisors (988781132171).

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

635374786816 is an frugal number, since it uses more digits than its factorization.

635374786816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 667 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 64.

Multiplying 635374786816 by its sum of digits (64), we get a square (40663986356224 = 6376832²).

635374786816 divided by its sum of digits (64) gives a square (9927731044 = 99638²).

The spelling of 635374786816 in words is "six hundred thirty-five billion, three hundred seventy-four million, seven hundred eighty-six thousand, eight hundred sixteen".