7761268368 has 180 divisors, whose sum is σ = 26203479120. Its totient is φ = 2217450816.

The previous prime is 7761268271. The next prime is 7761268381. The reversal of 7761268368 is 8638621677.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170143 + ... + 210881.

It is an arithmetic number, because the mean of its divisors is an integer number (145574884).

Almost surely, 2^7761268368 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 7761268368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13101739560).

7761268368 is an abundant number, since it is smaller than the sum of its proper divisors (18442210752).

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

7761268368 is a wasteful number, since it uses less digits than its factorization.

7761268368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40776 (or 40751 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 7761268368 is about 88098.0610910365. The cubic root of 7761268368 is about 1979.9044581998.

The spelling of 7761268368 in words is "seven billion, seven hundred sixty-one million, two hundred sixty-eight thousand, three hundred sixty-eight".