693134475264 has 2160 divisors, whose sum is σ = 2936950773120. Its totient is φ = 160526499840.

The previous prime is 693134475239. The next prime is 693134475317. The reversal of 693134475264 is 462574431396.

693134475264 is a `hidden beast` number, since 6 + 9 + 31 + 344 + 7 + 5 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 693134475264.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36480761847 + ... + 36480761865.

It is an arithmetic number, because the mean of its divisors is an integer number (1359699432).

Almost surely, 2^693134475264 is an apocalyptic number.

693134475264 is a gapful number since it is divisible by the number (64) 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 693134475264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468475386560).

693134475264 is an abundant number, since it is smaller than the sum of its proper divisors (2243816297856).

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

693134475264 is a wasteful number, since it uses less digits than its factorization.

693134475264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 693134475264 in words is "six hundred ninety-three billion, one hundred thirty-four million, four hundred seventy-five thousand, two hundred sixty-four".