6450140160 has 440 divisors, whose sum is σ = 23492616576. Its totient is φ = 1692057600.

The previous prime is 6450140149. The next prime is 6450140189. The reversal of 6450140160 is 610410546.

6450140160 is a `hidden beast` number, since 64 + 501 + 40 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42716085 + ... + 42716235.

Almost surely, 2^6450140160 is an apocalyptic number.

6450140160 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 6450140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746308288).

6450140160 is an abundant number, since it is smaller than the sum of its proper divisors (17042476416).

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

6450140160 is a wasteful number, since it uses less digits than its factorization.

6450140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6450140160 is about 80312.7646143501. The cubic root of 6450140160 is about 1861.4714682712.

The spelling of 6450140160 in words is "six billion, four hundred fifty million, one hundred forty thousand, one hundred sixty".