5035662720 has 768 divisors, whose sum is σ = 20621952000. Its totient is φ = 1119191040.

The previous prime is 5035662707. The next prime is 5035662773. The reversal of 5035662720 is 272665305.

It is a happy number.

5035662720 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 6 + 627 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56580436 + ... + 56580524.

It is an arithmetic number, because the mean of its divisors is an integer number (26851500).

Almost surely, 2^5035662720 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 5035662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10310976000).

5035662720 is an abundant number, since it is smaller than the sum of its proper divisors (15586289280).

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

5035662720 is a wasteful number, since it uses less digits than its factorization.

5035662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5035662720 is about 70962.4035669593. The cubic root of 5035662720 is about 1714.0318119203.

The spelling of 5035662720 in words is "five billion, thirty-five million, six hundred sixty-two thousand, seven hundred twenty".