5010578640 has 240 divisors, whose sum is σ = 17941637376. Its totient is φ = 1248768000.

The previous prime is 5010578633. The next prime is 5010578653. The reversal of 5010578640 is 468750105.

5010578640 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 5 + 7 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×5010578640³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 5010578595 and 5010578604.

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, 1846885 + ... + 1849595.

Almost surely, 2^5010578640 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 5010578640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970818688).

5010578640 is an abundant number, since it is smaller than the sum of its proper divisors (12931058736).

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

5010578640 is a wasteful number, since it uses less digits than its factorization.

5010578640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5010578640 is about 70785.4408759315. The cubic root of 5010578640 is about 1711.1810451855.

The spelling of 5010578640 in words is "five billion, ten million, five hundred seventy-eight thousand, six hundred forty".