7389408000 has 576 divisors, whose sum is σ = 27427405824. Its totient is φ = 1751040000.

The previous prime is 7389407947. The next prime is 7389408023. The reversal of 7389408000 is 8049837.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 7389408000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38687905 + ... + 38688095.

It is an arithmetic number, because the mean of its divisors is an integer number (47617024).

Almost surely, 2^7389408000 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 7389408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713702912).

7389408000 is an abundant number, since it is smaller than the sum of its proper divisors (20037997824).

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

7389408000 is a wasteful number, since it uses less digits than its factorization.

7389408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 7389408000 is about 85961.6658749701. The cubic root of 7389408000 is about 1947.7649606021.

The spelling of 7389408000 in words is "seven billion, three hundred eighty-nine million, four hundred eight thousand".