7613315297280 has 2080 divisors, whose sum is σ = 35828424783360. Its totient is φ = 1498247331840.

The previous prime is 7613315297239. The next prime is 7613315297281. The reversal of 7613315297280 is 827925133167.

7613315297280 is a `hidden beast` number, since 7 + 6 + 1 + 3 + 31 + 529 + 7 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7613315297281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2426939872 + ... + 2426943008.

Almost surely, 2^{7613315297280} is an apocalyptic number.

7613315297280 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 7613315297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914212391680).

7613315297280 is an abundant number, since it is smaller than the sum of its proper divisors (28215109486080).

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

7613315297280 is a wasteful number, since it uses less digits than its factorization.

7613315297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 7613315297280 in words is "seven trillion, six hundred thirteen billion, three hundred fifteen million, two hundred ninety-seven thousand, two hundred eighty".