7382088000 has 672 divisors, whose sum is σ = 30692433408. Its totient is φ = 1658880000.

The previous prime is 7382087983. The next prime is 7382088019. The reversal of 7382088000 is 8802837.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48887925 + ... + 48888075.

It is an arithmetic number, because the mean of its divisors is an integer number (45673264).

Almost surely, 2^7382088000 is an apocalyptic number.

7382088000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7382088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15346216704).

7382088000 is an abundant number, since it is smaller than the sum of its proper divisors (23310345408).

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

7382088000 is a wasteful number, since it uses less digits than its factorization.

7382088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7382088000 is about 85919.0782073458. The cubic root of 7382088000 is about 1947.1215915162.

The spelling of 7382088000 in words is "seven billion, three hundred eighty-two million, eighty-eight thousand".