7663809074688 has 1600 divisors, whose sum is σ = 26937715875840. Its totient is φ = 2149048516608.

The previous prime is 7663809074587. The next prime is 7663809074689. The reversal of 7663809074688 is 8864709083667.

7663809074688 is a `hidden beast` number, since 76 + 6 + 3 + 8 + 0 + 90 + 7 + 468 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7663809074689) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55940212156 + ... + 55940212292.

Almost surely, 2^{7663809074688} is an apocalyptic number.

7663809074688 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 7663809074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468857937920).

7663809074688 is an abundant number, since it is smaller than the sum of its proper divisors (19273906801152).

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

7663809074688 is a wasteful number, since it uses less digits than its factorization.

7663809074688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 7663809074688 in words is "seven trillion, six hundred sixty-three billion, eight hundred nine million, seventy-four thousand, six hundred eighty-eight".