7352355840 has 352 divisors, whose sum is σ = 25605906624. Its totient is φ = 1793064960.

The previous prime is 7352355833. The next prime is 7352355853. The reversal of 7352355840 is 485532537.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7352355792 and 7352355801.

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, 9661060 + ... + 9661820.

Almost surely, 2^7352355840 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 7352355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802953312).

7352355840 is an abundant number, since it is smaller than the sum of its proper divisors (18253550784).

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

7352355840 is a wasteful number, since it uses less digits than its factorization.

7352355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 7352355840 is about 85745.8794345244. The cubic root of 7352355840 is about 1944.5039930195.

The spelling of 7352355840 in words is "seven billion, three hundred fifty-two million, three hundred fifty-five thousand, eight hundred forty".