6456400632 has 48 divisors (see below), whose sum is σ = 19075731480. Its totient is φ = 1956484800.

The previous prime is 6456400627. The next prime is 6456400661. The reversal of 6456400632 is 2360046546.

6456400632 is a `hidden beast` number, since 6 + 4 + 5 + 640 + 0 + 6 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4075219 + ... + 4076802.

Almost surely, 2^6456400632 is an apocalyptic number.

It is an amenable number.

6456400632 is an abundant number, since it is smaller than the sum of its proper divisors (12619330848).

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

6456400632 is a wasteful number, since it uses less digits than its factorization.

6456400632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152044 (or 8152037 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6456400632 is about 80351.7307343159. The cubic root of 6456400632 is about 1862.0735183255.

The spelling of 6456400632 in words is "six billion, four hundred fifty-six million, four hundred thousand, six hundred thirty-two".