7413013920 has 192 divisors, whose sum is σ = 25252746624. Its totient is φ = 1817088000.

The previous prime is 7413013859. The next prime is 7413013961. The reversal of 7413013920 is 293103147.

It is a super-2 number, since 2×7413013920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1563874 + ... + 1568606.

It is an arithmetic number, because the mean of its divisors is an integer number (131524722).

Almost surely, 2^7413013920 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 7413013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626373312).

7413013920 is an abundant number, since it is smaller than the sum of its proper divisors (17839732704).

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

7413013920 is a wasteful number, since it uses less digits than its factorization.

7413013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 7413013920 is about 86098.8613165122. The cubic root of 7413013920 is about 1949.8368410495.

The spelling of 7413013920 in words is "seven billion, four hundred thirteen million, thirteen thousand, nine hundred twenty".