7604997120 has 704 divisors, whose sum is σ = 32070758400. Its totient is φ = 1672151040.

The previous prime is 7604997119. The next prime is 7604997143. The reversal of 7604997120 is 217994067.

7604997120 is a `hidden beast` number, since 76 + 0 + 499 + 71 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28062585 + ... + 28062855.

Almost surely, 2^7604997120 is an apocalyptic number.

7604997120 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 7604997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035379200).

7604997120 is an abundant number, since it is smaller than the sum of its proper divisors (24465761280).

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

7604997120 is a wasteful number, since it uses less digits than its factorization.

7604997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 7604997120 is about 87206.6346099882. The cubic root of 7604997120 is about 1966.5259634407.

The spelling of 7604997120 in words is "seven billion, six hundred four million, nine hundred ninety-seven thousand, one hundred twenty".