7613077680 has 320 divisors, whose sum is σ = 29216880000. Its totient is φ = 1809174528.

The previous prime is 7613077679. The next prime is 7613077687. The reversal of 7613077680 is 867703167.

It is a happy number.

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 (7613077687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809646 + ... + 818994.

It is an arithmetic number, because the mean of its divisors is an integer number (91302750).

Almost surely, 2^7613077680 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 7613077680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608440000).

7613077680 is an abundant number, since it is smaller than the sum of its proper divisors (21603802320).

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

7613077680 is a wasteful number, since it uses less digits than its factorization.

7613077680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 7613077680 is about 87252.9522709690. The cubic root of 7613077680 is about 1967.2222164440. Note that the first 4 decimals are identical.

The spelling of 7613077680 in words is "seven billion, six hundred thirteen million, seventy-seven thousand, six hundred eighty".