7604982000 has 1280 divisors, whose sum is σ = 35654860800. Its totient is φ = 1503360000.

The previous prime is 7604981981. The next prime is 7604982001. The reversal of 7604982000 is 2894067.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7604982001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 128897971 + ... + 128898029.

It is an arithmetic number, because the mean of its divisors is an integer number (27855360).

Almost surely, 2^7604982000 is an apocalyptic number.

7604982000 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 7604982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827430400).

7604982000 is an abundant number, since it is smaller than the sum of its proper divisors (28049878800).

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

7604982000 is a wasteful number, since it uses less digits than its factorization.

7604982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7604982000 is about 87206.5479192933. The cubic root of 7604982000 is about 1966.5246601796.

The spelling of 7604982000 in words is "seven billion, six hundred four million, nine hundred eighty-two thousand".