7172812800 has 468 divisors, whose sum is σ = 26434191784. Its totient is φ = 1857945600.

The previous prime is 7172812789. The next prime is 7172812811. The reversal of 7172812800 is 82182717.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7172812789) and next prime (7172812811).

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

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 35 ways as a sum of consecutive naturals, for example, 39628710 + ... + 39628890.

Almost surely, 2^7172812800 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 7172812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217095892).

7172812800 is an abundant number, since it is smaller than the sum of its proper divisors (19261378984).

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

7172812800 is a wasteful number, since it uses less digits than its factorization.

7172812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 7172812800 is about 84692.4601130467. The cubic root of 7172812800 is about 1928.5452450296.

The spelling of 7172812800 in words is "seven billion, one hundred seventy-two million, eight hundred twelve thousand, eight hundred".