7604121600 has 468 divisors, whose sum is σ = 28097882176. Its totient is φ = 1964113920.

The previous prime is 7604121541. The next prime is 7604121643. The reversal of 7604121600 is 61214067.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34099089 + ... + 34099311.

Almost surely, 2^7604121600 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 7604121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048941088).

7604121600 is an abundant number, since it is smaller than the sum of its proper divisors (20493760576).

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

7604121600 is a wasteful number, since it uses less digits than its factorization.

7604121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7604121600 is about 87201.6146639499. The cubic root of 7604121600 is about 1966.4504955670.

Adding to 7604121600 its reverse (61214067), we get a palindrome (7665335667).

The spelling of 7604121600 in words is "seven billion, six hundred four million, one hundred twenty-one thousand, six hundred".