693236081664 has 825 divisors, whose sum is σ = 2456644127267. Its totient is φ = 194710376448.

The previous prime is 693236081647. The next prime is 693236081683. The reversal of 693236081664 is 466180632396.

The square root of 693236081664 is 832608.

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

693236081664 is a `hidden beast` number, since 6 + 9 + 3 + 23 + 608 + 1 + 6 + 6 + 4 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 693236081664.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 11749764067 + ... + 11749764125.

Almost surely, 2^693236081664 is an apocalyptic number.

693236081664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

693236081664 is the 832608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693236081664

693236081664 is an abundant number, since it is smaller than the sum of its proper divisors (1763408045603).

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

693236081664 is an frugal number, since it uses more digits than its factorization.

693236081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 693236081664 in words is "six hundred ninety-three billion, two hundred thirty-six million, eighty-one thousand, six hundred sixty-four".