5154689664 has 320 divisors, whose sum is σ = 16350681600. Its totient is φ = 1607454720.

The previous prime is 5154689587. The next prime is 5154689677. The reversal of 5154689664 is 4669864515.

5154689664 is a `hidden beast` number, since 5 + 1 + 546 + 8 + 96 + 6 + 4 = 666.

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 5154689664.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26987809 + ... + 26987999.

It is an arithmetic number, because the mean of its divisors is an integer number (51095880).

Almost surely, 2^5154689664 is an apocalyptic number.

5154689664 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 5154689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175340800).

5154689664 is an abundant number, since it is smaller than the sum of its proper divisors (11195991936).

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

5154689664 is a wasteful number, since it uses less digits than its factorization.

5154689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 352 counting only the distinct ones).

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

The square root of 5154689664 is about 71796.1674743158. The cubic root of 5154689664 is about 1727.4315259680.

The spelling of 5154689664 in words is "five billion, one hundred fifty-four million, six hundred eighty-nine thousand, six hundred sixty-four".