7724449474560 has 2688 divisors, whose sum is σ = 34865966903040. Its totient is φ = 1598385291264.

The previous prime is 7724449474543. The next prime is 7724449474571. The reversal of 7724449474560 is 654749444277.

7724449474560 is a `hidden beast` number, since 7 + 7 + 2 + 44 + 494 + 7 + 45 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 56382842812 + ... + 56382842948.

It is an arithmetic number, because the mean of its divisors is an integer number (12970969830).

Almost surely, 2^{7724449474560} is an apocalyptic number.

7724449474560 is a gapful number since it is divisible by the number (70) 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 7724449474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17432983451520).

7724449474560 is an abundant number, since it is smaller than the sum of its proper divisors (27141517428480).

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

7724449474560 is a wasteful number, since it uses less digits than its factorization.

7724449474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 7724449474560 in words is "seven trillion, seven hundred twenty-four billion, four hundred forty-nine million, four hundred seventy-four thousand, five hundred sixty".