4974190560 has 288 divisors, whose sum is σ = 18175352832. Its totient is φ = 1283351040.

The previous prime is 4974190553. The next prime is 4974190567. The reversal of 4974190560 is 650914794.

4974190560 is a `hidden beast` number, since 4 + 9 + 74 + 19 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4974190553) and next prime (4974190567).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4974190560² = 49485143454386227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974190567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203217 + ... + 1207343.

It is an arithmetic number, because the mean of its divisors is an integer number (63108864).

Almost surely, 2^4974190560 is an apocalyptic number.

4974190560 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 4974190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087676416).

4974190560 is an abundant number, since it is smaller than the sum of its proper divisors (13201162272).

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

4974190560 is a wasteful number, since it uses less digits than its factorization.

4974190560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4974190560 is about 70527.9416968906. The cubic root of 4974190560 is about 1707.0286348401.

The spelling of 4974190560 in words is "four billion, nine hundred seventy-four million, one hundred ninety thousand, five hundred sixty".