5405676864 has 336 divisors, whose sum is σ = 17896197888. Its totient is φ = 1430618112.

The previous prime is 5405676841. The next prime is 5405676893. The reversal of 5405676864 is 4686765045.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11675097 + ... + 11675559.

Almost surely, 2^5405676864 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 5405676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8948098944).

5405676864 is an abundant number, since it is smaller than the sum of its proper divisors (12490521024).

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

5405676864 is a wasteful number, since it uses less digits than its factorization.

5405676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The square root of 5405676864 is about 73523.3083042378. The cubic root of 5405676864 is about 1755.0252146928.

The spelling of 5405676864 in words is "five billion, four hundred five million, six hundred seventy-six thousand, eight hundred sixty-four".