5395680864 has 540 divisors, whose sum is σ = 19719387324. Its totient is φ = 1450939392.

The previous prime is 5395680841. The next prime is 5395680889. The reversal of 5395680864 is 4680865935.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×5395680864² = 58226743972271572992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5395680864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 317392984 + ... + 317393000.

Almost surely, 2^5395680864 is an apocalyptic number.

5395680864 is a gapful number since it is divisible by the number (54) 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 5395680864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9859693662).

5395680864 is an abundant number, since it is smaller than the sum of its proper divisors (14323706460).

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

5395680864 is an frugal number, since it uses more digits than its factorization.

5395680864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 5395680864 is about 73455.2984065819. The cubic root of 5395680864 is about 1753.9427688945.

Multiplying 5395680864 by its sum of digits (54), we get a square (291366766656 = 539784²).

5395680864 divided by its sum of digits (54) gives a square (99920016 = 9996²).

The spelling of 5395680864 in words is "five billion, three hundred ninety-five million, six hundred eighty thousand, eight hundred sixty-four".