690116656320 has 3136 divisors, whose sum is σ = 3358115712000. Its totient is φ = 130929426432.

The previous prime is 690116656319. The next prime is 690116656343. The reversal of 690116656320 is 23656611096.

690116656320 is a `hidden beast` number, since 6 + 9 + 0 + 1 + 1 + 6 + 6 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 11696892451 + ... + 11696892509.

Almost surely, 2^690116656320 is an apocalyptic number.

690116656320 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 690116656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679057856000).

690116656320 is an abundant number, since it is smaller than the sum of its proper divisors (2667999055680).

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

690116656320 is a wasteful number, since it uses less digits than its factorization.

690116656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

It can be divided in two parts, 690116656 and 320, that added together give a triangular number (690116976 = T₃₇₁₅₁).

The spelling of 690116656320 in words is "six hundred ninety billion, one hundred sixteen million, six hundred fifty-six thousand, three hundred twenty".