7880956836480 has 4096 divisors, whose sum is σ = 38182846464000. Its totient is φ = 1489886576640.

The previous prime is 7880956836457. The next prime is 7880956836491. The reversal of 7880956836480 is 846386590887.

7880956836480 is a `hidden beast` number, since 7 + 8 + 80 + 9 + 5 + 68 + 3 + 6 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7880956836399 and 7880956836408.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 62054778177 + ... + 62054778303.

It is an arithmetic number, because the mean of its divisors is an integer number (9321984000).

Almost surely, 2^{7880956836480} is an apocalyptic number.

7880956836480 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 7880956836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19091423232000).

7880956836480 is an abundant number, since it is smaller than the sum of its proper divisors (30301889627520).

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

7880956836480 is a wasteful number, since it uses less digits than its factorization.

7880956836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 7880956836480 in words is "seven trillion, eight hundred eighty billion, nine hundred fifty-six million, eight hundred thirty-six thousand, four hundred eighty".