7473844560 has 960 divisors, whose sum is σ = 31917957120. Its totient is φ = 1428295680.

The previous prime is 7473844559. The next prime is 7473844571. The reversal of 7473844560 is 654483747.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 90046279 + ... + 90046361.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 2^7473844560 is an apocalyptic number.

7473844560 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 7473844560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958978560).

7473844560 is an abundant number, since it is smaller than the sum of its proper divisors (24444112560).

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

7473844560 is a wasteful number, since it uses less digits than its factorization.

7473844560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The square root of 7473844560 is about 86451.3999886642. The cubic root of 7473844560 is about 1955.1557239744.

The spelling of 7473844560 in words is "seven billion, four hundred seventy-three million, eight hundred forty-four thousand, five hundred sixty".