7387218720 has 576 divisors, whose sum is σ = 30653925120. Its totient is φ = 1583898624.

The previous prime is 7387218697. The next prime is 7387218731. The reversal of 7387218720 is 278127837.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10815499 + ... + 10816181.

It is an arithmetic number, because the mean of its divisors is an integer number (53218620).

Almost surely, 2^7387218720 is an apocalyptic number.

7387218720 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 7387218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326962560).

7387218720 is an abundant number, since it is smaller than the sum of its proper divisors (23266706400).

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

7387218720 is a wasteful number, since it uses less digits than its factorization.

7387218720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 7387218720 is about 85948.9308834031. The cubic root of 7387218720 is about 1947.5725850620.

The spelling of 7387218720 in words is "seven billion, three hundred eighty-seven million, two hundred eighteen thousand, seven hundred twenty".