4737292560 has 960 divisors, whose sum is σ = 22371068160. Its totient is φ = 905748480.

The previous prime is 4737292541. The next prime is 4737292583. The reversal of 4737292560 is 652927374.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15134964 + ... + 15135276.

It is an arithmetic number, because the mean of its divisors is an integer number (23303196).

Almost surely, 2^4737292560 is an apocalyptic number.

4737292560 is a gapful number since it is divisible by the number (40) 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 4737292560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11185534080).

4737292560 is an abundant number, since it is smaller than the sum of its proper divisors (17633775600).

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

4737292560 is a wasteful number, since it uses less digits than its factorization.

4737292560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4737292560 is about 68827.9925611666. The cubic root of 4737292560 is about 1679.4873435775.

The spelling of 4737292560 in words is "four billion, seven hundred thirty-seven million, two hundred ninety-two thousand, five hundred sixty".