7659894816 has 576 divisors, whose sum is σ = 28544140800. Its totient is φ = 1983356928.

The previous prime is 7659894793. The next prime is 7659894829. The reversal of 7659894816 is 6184989567.

7659894816 is a `hidden beast` number, since 7 + 65 + 98 + 9 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20871465 + ... + 20871831.

It is an arithmetic number, because the mean of its divisors is an integer number (49555800).

Almost surely, 2^7659894816 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 7659894816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14272070400).

7659894816 is an abundant number, since it is smaller than the sum of its proper divisors (20884245984).

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

7659894816 is a wasteful number, since it uses less digits than its factorization.

7659894816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 425 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 7659894816 is about 87520.8250418150. The cubic root of 7659894816 is about 1971.2465004957.

The spelling of 7659894816 in words is "seven billion, six hundred fifty-nine million, eight hundred ninety-four thousand, eight hundred sixteen".