7870331379456 has 648 divisors, whose sum is σ = 28770417945360. Its totient is φ = 2050651717632.

The previous prime is 7870331379377. The next prime is 7870331379457. The reversal of 7870331379456 is 6549731330787.

It is a happy number.

7870331379456 is a `hidden beast` number, since 7 + 8 + 70 + 33 + 13 + 79 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7870331379393 and 7870331379402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7870331379457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121782480 + ... + 121847088.

Almost surely, 2^{7870331379456} 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 7870331379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385208972680).

7870331379456 is an abundant number, since it is smaller than the sum of its proper divisors (20900086565904).

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

7870331379456 is a wasteful number, since it uses less digits than its factorization.

7870331379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64741 (or 64717 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 7870331379456 in words is "seven trillion, eight hundred seventy billion, three hundred thirty-one million, three hundred seventy-nine thousand, four hundred fifty-six".