7666291152 has 240 divisors, whose sum is σ = 24692100160. Its totient is φ = 2200670208.

The previous prime is 7666291111. The next prime is 7666291153. The reversal of 7666291152 is 2511926667.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7666291098 and 7666291107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7666291153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2381448 + ... + 2384664.

Almost surely, 2^7666291152 is an apocalyptic number.

7666291152 is a gapful number since it is divisible by the number (72) 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 7666291152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346050080).

7666291152 is an abundant number, since it is smaller than the sum of its proper divisors (17025809008).

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

7666291152 is a wasteful number, since it uses less digits than its factorization.

7666291152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3321 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 7666291152 is about 87557.3592109767. The cubic root of 7666291152 is about 1971.7950392277.

The spelling of 7666291152 in words is "seven billion, six hundred sixty-six million, two hundred ninety-one thousand, one hundred fifty-two".