7783967600640 has 3328 divisors, whose sum is σ = 36459317882880. Its totient is φ = 1547934105600.

The previous prime is 7783967600609. The next prime is 7783967600737. The reversal of 7783967600640 is 460067693877.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 127606026210 + ... + 127606026270.

Almost surely, 2^{7783967600640} is an apocalyptic number.

7783967600640 is a gapful number since it is divisible by the number (70) 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 7783967600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229658941440).

7783967600640 is an abundant number, since it is smaller than the sum of its proper divisors (28675350282240).

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

7783967600640 is an equidigital number, since it uses as much as digits as its factorization.

7783967600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 7783967600640 in words is "seven trillion, seven hundred eighty-three billion, nine hundred sixty-seven million, six hundred thousand, six hundred forty".