6692164907904 has 512 divisors, whose sum is σ = 23684693760000. Its totient is φ = 1818782760960.

The previous prime is 6692164907903. The next prime is 6692164907921. The reversal of 6692164907904 is 4097094612966.

6692164907904 is a `hidden beast` number, since 6 + 69 + 2 + 16 + 490 + 79 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6692164907903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100678072 + ... + 100744520.

It is an arithmetic number, because the mean of its divisors is an integer number (46259167500).

Almost surely, 2^{6692164907904} is an apocalyptic number.

6692164907904 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 6692164907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11842346880000).

6692164907904 is an abundant number, since it is smaller than the sum of its proper divisors (16992528852096).

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

6692164907904 is a wasteful number, since it uses less digits than its factorization.

6692164907904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66683 (or 66665 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 6692164907904 in words is "six trillion, six hundred ninety-two billion, one hundred sixty-four million, nine hundred seven thousand, nine hundred four".