6845929920 has 448 divisors, whose sum is σ = 25843138560. Its totient is φ = 1700020224.

The previous prime is 6845929891. The next prime is 6845929943. The reversal of 6845929920 is 299295486.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18653577 + ... + 18653943.

Almost surely, 2^6845929920 is an apocalyptic number.

6845929920 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 6845929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12921569280).

6845929920 is an abundant number, since it is smaller than the sum of its proper divisors (18997208640).

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

6845929920 is a wasteful number, since it uses less digits than its factorization.

6845929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6845929920 is about 82740.1348802381. The cubic root of 6845929920 is about 1898.7923923692.

The spelling of 6845929920 in words is "six billion, eight hundred forty-five million, nine hundred twenty-nine thousand, nine hundred twenty".