5407678464 has 224 divisors, whose sum is σ = 15638556480. Its totient is φ = 1656225792.

The previous prime is 5407678447. The next prime is 5407678489. The reversal of 5407678464 is 4648767045.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17276772 + ... + 17277084.

Almost surely, 2^5407678464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5407678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819278240).

5407678464 is an abundant number, since it is smaller than the sum of its proper divisors (10230878016).

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

5407678464 is a wasteful number, since it uses less digits than its factorization.

5407678464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The square root of 5407678464 is about 73536.9190543090. The cubic root of 5407678464 is about 1755.2418033563.

The spelling of 5407678464 in words is "five billion, four hundred seven million, six hundred seventy-eight thousand, four hundred sixty-four".