7628071147200 has 2688 divisors, whose sum is σ = 34928812032000. Its totient is φ = 1580182732800.

The previous prime is 7628071147163. The next prime is 7628071147201. The reversal of 7628071147200 is 27411708267.

7628071147200 is a `hidden beast` number, since 7 + 628 + 0 + 7 + 1 + 14 + 7 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7628071147201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20126836611 + ... + 20126836989.

Almost surely, 2^{7628071147200} is an apocalyptic number.

7628071147200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7628071147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464406016000).

7628071147200 is an abundant number, since it is smaller than the sum of its proper divisors (27300740884800).

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

7628071147200 is a wasteful number, since it uses less digits than its factorization.

7628071147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 7628071147200 in words is "seven trillion, six hundred twenty-eight billion, seventy-one million, one hundred forty-seven thousand, two hundred".