7494046560 has 768 divisors, whose sum is σ = 35237099520. Its totient is φ = 1436590080.

The previous prime is 7494046541. The next prime is 7494046577. The reversal of 7494046560 is 656404947.

7494046560 is a `hidden beast` number, since 7 + 4 + 9 + 40 + 46 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4323454 + ... + 4325186.

It is an arithmetic number, because the mean of its divisors is an integer number (45881640).

Almost surely, 2^7494046560 is an apocalyptic number.

7494046560 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 7494046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17618549760).

7494046560 is an abundant number, since it is smaller than the sum of its proper divisors (27743052960).

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

7494046560 is a wasteful number, since it uses less digits than its factorization.

7494046560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7494046560 is about 86568.1613527745. The cubic root of 7494046560 is about 1956.9157517115.

The spelling of 7494046560 in words is "seven billion, four hundred ninety-four million, forty-six thousand, five hundred sixty".