6451935840 has 432 divisors, whose sum is σ = 26049114000. Its totient is φ = 1449584640.

The previous prime is 6451935839. The next prime is 6451935869. The reversal of 6451935840 is 485391546.

6451935840 is a `hidden beast` number, since 64 + 5 + 1 + 9 + 3 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4303411 + ... + 4304909.

It is an arithmetic number, because the mean of its divisors is an integer number (60298875).

Almost surely, 2^6451935840 is an apocalyptic number.

6451935840 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 6451935840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024557000).

6451935840 is an abundant number, since it is smaller than the sum of its proper divisors (19597178160).

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

6451935840 is a wasteful number, since it uses less digits than its factorization.

6451935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6451935840 is about 80323.9431303021. The cubic root of 6451935840 is about 1861.6441930422.

The spelling of 6451935840 in words is "six billion, four hundred fifty-one million, nine hundred thirty-five thousand, eight hundred forty".