7639117668 has 192 divisors, whose sum is σ = 24686592000. Its totient is φ = 1989007488.

The previous prime is 7639117667. The next prime is 7639117669. The reversal of 7639117668 is 8667119367.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7639117667) and next prime (7639117669).

It is a super-2 number, since 2×7639117668² (a number of 21 digits) contains 22 as substring.

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 (7639117667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 771493 + ... + 781331.

It is an arithmetic number, because the mean of its divisors is an integer number (128576000).

Almost surely, 2^7639117668 is an apocalyptic number.

7639117668 is a gapful number since it is divisible by the number (78) 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 7639117668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343296000).

7639117668 is an abundant number, since it is smaller than the sum of its proper divisors (17047474332).

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

7639117668 is a wasteful number, since it uses less digits than its factorization.

7639117668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9951 (or 9943 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 7639117668 is about 87402.0461316553. The cubic root of 7639117668 is about 1969.4625783725.

The spelling of 7639117668 in words is "seven billion, six hundred thirty-nine million, one hundred seventeen thousand, six hundred sixty-eight".