6905932992 has 420 divisors, whose sum is σ = 24609820224. Its totient is φ = 1907297280.

The previous prime is 6905932991. The next prime is 6905932993. The reversal of 6905932992 is 2992395096.

It is an interprime number because it is at equal distance from previous prime (6905932991) and next prime (6905932993).

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

It is not an unprimeable number, because it can be changed into a prime (6905932991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7874058 + ... + 7874934.

Almost surely, 2^6905932992 is an apocalyptic number.

6905932992 is a gapful number since it is divisible by the number (62) 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 6905932992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304910112).

6905932992 is an abundant number, since it is smaller than the sum of its proper divisors (17703887232).

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

6905932992 is a wasteful number, since it uses less digits than its factorization.

6905932992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 6905932992 is about 83101.9433707780. The cubic root of 6905932992 is about 1904.3237627056.

The spelling of 6905932992 in words is "six billion, nine hundred five million, nine hundred thirty-two thousand, nine hundred ninety-two".