4974000010560 has 672 divisors, whose sum is σ = 20596009973760. Its totient is φ = 1076324806656.

The previous prime is 4974000010537. The next prime is 4974000010561. The reversal of 4974000010560 is 650100004794.

4974000010560 is a `hidden beast` number, since 4 + 97 + 4 + 0 + 0 + 0 + 0 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4974000010560² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974000010561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682956679 + ... + 682963961.

Almost surely, 2^{4974000010560} is an apocalyptic number.

4974000010560 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 4974000010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10298004986880).

4974000010560 is an abundant number, since it is smaller than the sum of its proper divisors (15622009963200).

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

4974000010560 is a wasteful number, since it uses less digits than its factorization.

4974000010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115 (or 9102 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 4974000010560 in words is "four trillion, nine hundred seventy-four billion, ten thousand, five hundred sixty".