5175152640 has 624 divisors, whose sum is σ = 21514152960. Its totient is φ = 1176698880.

The previous prime is 5175152579. The next prime is 5175152659. The reversal of 5175152640 is 462515715.

5175152640 is a `hidden beast` number, since 5 + 1 + 7 + 5 + 1 + 5 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5175152595 and 5175152604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094945 + ... + 27095135.

Almost surely, 2^5175152640 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 5175152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757076480).

5175152640 is an abundant number, since it is smaller than the sum of its proper divisors (16339000320).

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

5175152640 is a wasteful number, since it uses less digits than its factorization.

5175152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5175152640 is about 71938.5337632065. The cubic root of 5175152640 is about 1729.7143480164.

The spelling of 5175152640 in words is "five billion, one hundred seventy-five million, one hundred fifty-two thousand, six hundred forty".