6425094435120 has 480 divisors, whose sum is σ = 22991043479040. Its totient is φ = 1666925568000.

The previous prime is 6425094435029. The next prime is 6425094435161. The reversal of 6425094435120 is 215344905246.

6425094435120 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 0 + 94 + 43 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111226245 + ... + 111283995.

It is an arithmetic number, because the mean of its divisors is an integer number (47898007248).

Almost surely, 2^{6425094435120} is an apocalyptic number.

6425094435120 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 6425094435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495521739520).

6425094435120 is an abundant number, since it is smaller than the sum of its proper divisors (16565949043920).

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

6425094435120 is a wasteful number, since it uses less digits than its factorization.

6425094435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57935 (or 57917 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 6425094435120 in words is "six trillion, four hundred twenty-five billion, ninety-four million, four hundred thirty-five thousand, one hundred twenty".