7488604900 has 288 divisors, whose sum is σ = 20718673920. Its totient is φ = 2291328000.

The previous prime is 7488604889. The next prime is 7488604901. The reversal of 7488604900 is 94068847.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7488604901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16904079 + ... + 16904521.

It is an arithmetic number, because the mean of its divisors is an integer number (71939840).

Almost surely, 2^7488604900 is an apocalyptic number.

7488604900 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 7488604900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359336960).

7488604900 is an abundant number, since it is smaller than the sum of its proper divisors (13230069020).

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

7488604900 is a wasteful number, since it uses less digits than its factorization.

7488604900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 7488604900 is about 86536.7257295999. The cubic root of 7488604900 is about 1956.4419779136.

The spelling of 7488604900 in words is "seven billion, four hundred eighty-eight million, six hundred four thousand, nine hundred".