7287417744 has 160 divisors (see below), whose sum is σ = 20451191040. Its totient is φ = 2227470336.

The previous prime is 7287417737. The next prime is 7287417791. The reversal of 7287417744 is 4477147827.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7221912 + ... + 7222920.

It is an arithmetic number, because the mean of its divisors is an integer number (127819944).

Almost surely, 2^7287417744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7287417744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10225595520).

7287417744 is an abundant number, since it is smaller than the sum of its proper divisors (13163773296).

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

7287417744 is a wasteful number, since it uses less digits than its factorization.

7287417744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1251 counting only the distinct ones).

The product of its digits is 2458624, while the sum is 51.

The square root of 7287417744 is about 85366.3736139705. The cubic root of 7287417744 is about 1938.7622515262.

The spelling of 7287417744 in words is "seven billion, two hundred eighty-seven million, four hundred seventeen thousand, seven hundred forty-four".