693524878464 has 128 divisors (see below), whose sum is σ = 2010115860480. Its totient is φ = 210109916160.

The previous prime is 693524878447. The next prime is 693524878469. The reversal of 693524878464 is 464878425396.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 693524878395 and 693524878404.

It is not an unprimeable number, because it can be changed into a prime (693524878469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20693529 + ... + 20727015.

It is an arithmetic number, because the mean of its divisors is an integer number (15704030160).

Almost surely, 2^693524878464 is an apocalyptic number.

693524878464 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 693524878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005057930240).

693524878464 is an abundant number, since it is smaller than the sum of its proper divisors (1316590982016).

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

693524878464 is a wasteful number, since it uses less digits than its factorization.

693524878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38418 (or 38406 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 66.

The spelling of 693524878464 in words is "six hundred ninety-three billion, five hundred twenty-four million, eight hundred seventy-eight thousand, four hundred sixty-four".