7150920313680 has 960 divisors, whose sum is σ = 28686466448640. Its totient is φ = 1573613568000.

The previous prime is 7150920313651. The next prime is 7150920313727. The reversal of 7150920313680 is 863130290517.

7150920313680 is a `hidden beast` number, since 7 + 1 + 509 + 2 + 0 + 3 + 136 + 8 + 0 = 666.

It is a super-2 number, since 2×7150920313680² (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 191 ways as a sum of consecutive naturals, for example, 1537499355 + ... + 1537504005.

It is an arithmetic number, because the mean of its divisors is an integer number (29881735884).

Almost surely, 2^{7150920313680} 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 7150920313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343233224320).

7150920313680 is an abundant number, since it is smaller than the sum of its proper divisors (21535546134960).

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

7150920313680 is a wasteful number, since it uses less digits than its factorization.

7150920313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 7150920313680 in words is "seven trillion, one hundred fifty billion, nine hundred twenty million, three hundred thirteen thousand, six hundred eighty".