6414082920 has 96 divisors (see below), whose sum is σ = 23823745920. Its totient is φ = 1466075520.

The previous prime is 6414082907. The next prime is 6414082937. The reversal of 6414082920 is 292804146.

6414082920 is a `hidden beast` number, since 641 + 4 + 0 + 8 + 2 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×6414082920² = 82280919409271452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270116 + ... + 1275155.

It is an arithmetic number, because the mean of its divisors is an integer number (248164020).

Almost surely, 2^6414082920 is an apocalyptic number.

6414082920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6414082920 is an abundant number, since it is smaller than the sum of its proper divisors (17409663000).

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

6414082920 is a wasteful number, since it uses less digits than its factorization.

6414082920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545295 (or 2545288 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6414082920 is about 80087.9698831229. The cubic root of 6414082920 is about 1857.9963508808.

The spelling of 6414082920 in words is "six billion, four hundred fourteen million, eighty-two thousand, nine hundred twenty".