7685033664 has 448 divisors, whose sum is σ = 27036979200. Its totient is φ = 1866240000.

The previous prime is 7685033639. The next prime is 7685033693. The reversal of 7685033664 is 4663305867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30617539 + ... + 30617789.

It is an arithmetic number, because the mean of its divisors is an integer number (60350400).

Almost surely, 2^7685033664 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 7685033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518489600).

7685033664 is an abundant number, since it is smaller than the sum of its proper divisors (19351945536).

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

7685033664 is a wasteful number, since it uses less digits than its factorization.

7685033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The square root of 7685033664 is about 87664.3237811141. The cubic root of 7685033664 is about 1973.4006098725.

The spelling of 7685033664 in words is "seven billion, six hundred eighty-five million, thirty-three thousand, six hundred sixty-four".