690645647664000 has 768 divisors, whose sum is σ = 2959205268801600. Its totient is φ = 157861857484800.

The previous prime is 690645647663989. The next prime is 690645647664029. The reversal of 690645647664000 is 466746546096.

It is a happy number.

690645647664000 is a `hidden beast` number, since 6 + 9 + 0 + 6 + 4 + 564 + 7 + 6 + 64 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4854564 + ... + 37481436.

Almost surely, 2^{690645647664000} is an apocalyptic number.

690645647664000 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 690645647664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479602634400800).

690645647664000 is an abundant number, since it is smaller than the sum of its proper divisors (2268559621137600).

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

690645647664000 is a wasteful number, since it uses less digits than its factorization.

690645647664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32626925 (or 32626890 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 690645647664000 in words is "six hundred ninety trillion, six hundred forty-five billion, six hundred forty-seven million, six hundred sixty-four thousand".