7117649280 has 768 divisors, whose sum is σ = 30592166400. Its totient is φ = 1531809792.

The previous prime is 7117649269. The next prime is 7117649291. The reversal of 7117649280 is 829467117.

It is a happy number.

7117649280 is a `hidden beast` number, since 7 + 11 + 76 + 492 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (7117649269) and next prime (7117649291).

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 95 ways as a sum of consecutive naturals, for example, 43666479 + ... + 43666641.

It is an arithmetic number, because the mean of its divisors is an integer number (39833550).

Almost surely, 2^7117649280 is an apocalyptic number.

7117649280 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 7117649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296083200).

7117649280 is an abundant number, since it is smaller than the sum of its proper divisors (23474517120).

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

7117649280 is a wasteful number, since it uses less digits than its factorization.

7117649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7117649280 is about 84366.1619371179. The cubic root of 7117649280 is about 1923.5886009998.

The spelling of 7117649280 in words is "seven billion, one hundred seventeen million, six hundred forty-nine thousand, two hundred eighty".