7201612800 has 660 divisors, whose sum is σ = 28010427456. Its totient is φ = 1824768000.

The previous prime is 7201612799. The next prime is 7201612837. The reversal of 7201612800 is 82161027.

It is a super-2 number, since 2×7201612800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47692725 + ... + 47692875.

Almost surely, 2^7201612800 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 7201612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005213728).

7201612800 is an abundant number, since it is smaller than the sum of its proper divisors (20808814656).

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

7201612800 is a wasteful number, since it uses less digits than its factorization.

7201612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7201612800 is about 84862.3167253876. The cubic root of 7201612800 is about 1931.1229381953.

Adding to 7201612800 its reverse (82161027), we get a palindrome (7283773827).

The spelling of 7201612800 in words is "seven billion, two hundred one million, six hundred twelve thousand, eight hundred".