7661412864 has 480 divisors, whose sum is σ = 27644897280. Its totient is φ = 2069286912.

The previous prime is 7661412851. The next prime is 7661412877. The reversal of 7661412864 is 4682141667.

7661412864 is a `hidden beast` number, since 7 + 6 + 614 + 1 + 28 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (7661412851) and next prime (7661412877).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16547097 + ... + 16547559.

It is an arithmetic number, because the mean of its divisors is an integer number (57593536).

Almost surely, 2^7661412864 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 7661412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822448640).

7661412864 is an abundant number, since it is smaller than the sum of its proper divisors (19983484416).

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

7661412864 is an equidigital number, since it uses as much as digits as its factorization.

7661412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 494 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 7661412864 is about 87529.4971081178. The cubic root of 7661412864 is about 1971.3767132997.

The spelling of 7661412864 in words is "seven billion, six hundred sixty-one million, four hundred twelve thousand, eight hundred sixty-four".