7973625600 has 486 divisors, whose sum is σ = 30346286880. Its totient is φ = 1997045760.

The previous prime is 7973625571. The next prime is 7973625613. The reversal of 7973625600 is 65263797.

7973625600 is a `hidden beast` number, since 7 + 9 + 7 + 36 + 2 + 5 + 600 = 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 (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16646161 + ... + 16646639.

Almost surely, 2^7973625600 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 7973625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15173143440).

7973625600 is an abundant number, since it is smaller than the sum of its proper divisors (22372661280).

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

7973625600 is a wasteful number, since it uses less digits than its factorization.

7973625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 7973625600 is about 89295.1600032163. The cubic root of 7973625600 is about 1997.7997135909.

The spelling of 7973625600 in words is "seven billion, nine hundred seventy-three million, six hundred twenty-five thousand, six hundred".