7472047651200 has 768 divisors, whose sum is σ = 30794014771200. Its totient is φ = 1752966144000.

The previous prime is 7472047651171. The next prime is 7472047651213. The reversal of 7472047651200 is 21567402747.

7472047651200 is a `hidden beast` number, since 7 + 47 + 20 + 4 + 76 + 512 + 0 + 0 = 666.

It is a super-2 number, since 2×7472047651200² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29335594 + ... + 29589206.

It is an arithmetic number, because the mean of its divisors is an integer number (40096373400).

Almost surely, 2^{7472047651200} 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 7472047651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397007385600).

7472047651200 is an abundant number, since it is smaller than the sum of its proper divisors (23321967120000).

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

7472047651200 is a wasteful number, since it uses less digits than its factorization.

7472047651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253688 (or 253665 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

It can be divided in two parts, 747204 and 7651200, that added together give a square (8398404 = 2898²).

The spelling of 7472047651200 in words is "seven trillion, four hundred seventy-two billion, forty-seven million, six hundred fifty-one thousand, two hundred".