7880376176640 has 624 divisors, whose sum is σ = 30794372481600. Its totient is φ = 1910378004480.

The previous prime is 7880376176609. The next prime is 7880376176653. The reversal of 7880376176640 is 466716730887.

It is a happy number.

7880376176640 is a `hidden beast` number, since 7 + 8 + 8 + 0 + 3 + 7 + 617 + 6 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66849271 + ... + 66967049.

It is an arithmetic number, because the mean of its divisors is an integer number (49349955900).

Almost surely, 2^{7880376176640} 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 7880376176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397186240800).

7880376176640 is an abundant number, since it is smaller than the sum of its proper divisors (22913996304960).

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

7880376176640 is a wasteful number, since it uses less digits than its factorization.

7880376176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117839 (or 117800 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 7880376176640 in words is "seven trillion, eight hundred eighty billion, three hundred seventy-six million, one hundred seventy-six thousand, six hundred forty".