7120628444160 has 2376 divisors, whose sum is σ = 32100549127920. Its totient is φ = 1453780500480.

The previous prime is 7120628444129. The next prime is 7120628444191. The reversal of 7120628444160 is 614448260217.

7120628444160 is a `hidden beast` number, since 7 + 1 + 2 + 0 + 628 + 4 + 4 + 4 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7120628444129) and next prime (7120628444191).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18304957246 + ... + 18304957634.

Almost surely, 2^{7120628444160} is an apocalyptic number.

7120628444160 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 7120628444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16050274563960).

7120628444160 is an abundant number, since it is smaller than the sum of its proper divisors (24979920683760).

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

7120628444160 is a wasteful number, since it uses less digits than its factorization.

7120628444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 7120628444160 in words is "seven trillion, one hundred twenty billion, six hundred twenty-eight million, four hundred forty-four thousand, one hundred sixty".