7408013004 has 192 divisors, whose sum is σ = 22616832000. Its totient is φ = 2052864000.

The previous prime is 7408013003. The next prime is 7408013009. The reversal of 7408013004 is 4003108047.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7408013003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6167604 + ... + 6168804.

It is an arithmetic number, because the mean of its divisors is an integer number (117796000).

Almost surely, 2^7408013004 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 7408013004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308416000).

7408013004 is an abundant number, since it is smaller than the sum of its proper divisors (15208818996).

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

7408013004 is a wasteful number, since it uses less digits than its factorization.

7408013004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7408013004 is about 86069.8147087584. The cubic root of 7408013004 is about 1949.3982806163.

The spelling of 7408013004 in words is "seven billion, four hundred eight million, thirteen thousand, four".