6904198933632 has 1920 divisors, whose sum is σ = 28158966126720. Its totient is φ = 1630347264000.

The previous prime is 6904198933553. The next prime is 6904198933649. The reversal of 6904198933632 is 2363398914096.

6904198933632 is a `hidden beast` number, since 69 + 0 + 41 + 98 + 93 + 363 + 2 = 666.

It is a super-2 number, since 2×6904198933632² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6904198933632.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9849070882 + ... + 9849071582.

It is an arithmetic number, because the mean of its divisors is an integer number (14666128191).

Almost surely, 2^{6904198933632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6904198933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079483063360).

6904198933632 is an abundant number, since it is smaller than the sum of its proper divisors (21254767193088).

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

6904198933632 is a wasteful number, since it uses less digits than its factorization.

6904198933632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 6904198933632 in words is "six trillion, nine hundred four billion, one hundred ninety-eight million, nine hundred thirty-three thousand, six hundred thirty-two".