7947472500 has 360 divisors, whose sum is σ = 27693810144. Its totient is φ = 1905120000.

The previous prime is 7947472493. The next prime is 7947472501. The reversal of 7947472500 is 52747497.

7947472500 is a `hidden beast` number, since 7 + 9 + 4 + 74 + 72 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7947472501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40342402 + ... + 40342598.

Almost surely, 2^7947472500 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 7947472500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846905072).

7947472500 is an abundant number, since it is smaller than the sum of its proper divisors (19746337644).

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

7947472500 is a wasteful number, since it uses less digits than its factorization.

7947472500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 7947472500 is about 89148.5978577341. The cubic root of 7947472500 is about 1995.6130928918.

The spelling of 7947472500 in words is "seven billion, nine hundred forty-seven million, four hundred seventy-two thousand, five hundred".