7889933399040 has 1760 divisors, whose sum is σ = 35700897064320. Its totient is φ = 1638708019200.

The previous prime is 7889933399021. The next prime is 7889933399053. The reversal of 7889933399040 is 409933399887.

7889933399040 is a `hidden beast` number, since 7 + 8 + 89 + 93 + 339 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7889933399040.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 3651055560 + ... + 3651057720.

Almost surely, 2^{7889933399040} is an apocalyptic number.

7889933399040 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 7889933399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850448532160).

7889933399040 is an abundant number, since it is smaller than the sum of its proper divisors (27810963665280).

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

7889933399040 is a wasteful number, since it uses less digits than its factorization.

7889933399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 7889933399040 in words is "seven trillion, eight hundred eighty-nine billion, nine hundred thirty-three million, three hundred ninety-nine thousand, forty".