7408365120 has 504 divisors, whose sum is σ = 28540691712. Its totient is φ = 1761177600.

The previous prime is 7408365119. The next prime is 7408365157. The reversal of 7408365120 is 215638047.

It is a super-2 number, since 2×7408365120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15088075 + ... + 15088565.

Almost surely, 2^7408365120 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 7408365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270345856).

7408365120 is an abundant number, since it is smaller than the sum of its proper divisors (21132326592).

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

7408365120 is a wasteful number, since it uses less digits than its factorization.

7408365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7408365120 is about 86071.8602099432. The cubic root of 7408365120 is about 1949.4291662465.

The spelling of 7408365120 in words is "seven billion, four hundred eight million, three hundred sixty-five thousand, one hundred twenty".