7611717960 has 768 divisors, whose sum is σ = 32680972800. Its totient is φ = 1541928960.

The previous prime is 7611717941. The next prime is 7611717973. The reversal of 7611717960 is 697171167.

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 191 ways as a sum of consecutive naturals, for example, 48482202 + ... + 48482358.

It is an arithmetic number, because the mean of its divisors is an integer number (42553350).

Almost surely, 2^7611717960 is an apocalyptic number.

7611717960 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 7611717960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16340486400).

7611717960 is an abundant number, since it is smaller than the sum of its proper divisors (25069254840).

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

7611717960 is a wasteful number, since it uses less digits than its factorization.

7611717960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The square root of 7611717960 is about 87245.1600949875. The cubic root of 7611717960 is about 1967.1050920795.

It can be divided in two parts, 761 and 1717960, that added together give a square (1718721 = 1311²).

The spelling of 7611717960 in words is "seven billion, six hundred eleven million, seven hundred seventeen thousand, nine hundred sixty".