7870611456 has 176 divisors, whose sum is σ = 23488096800. Its totient is φ = 2604662784.

The previous prime is 7870611449. The next prime is 7870611461. The reversal of 7870611456 is 6541160787.

7870611456 is a `hidden beast` number, since 78 + 70 + 61 + 1 + 456 = 666.

It is a super-3 number, since 3×7870611456³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56623035 + ... + 56623173.

Almost surely, 2^7870611456 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 7870611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11744048400).

7870611456 is an abundant number, since it is smaller than the sum of its proper divisors (15617485344).

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

7870611456 is an frugal number, since it uses more digits than its factorization.

7870611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7870611456 is about 88716.4666564218. The cubic root of 7870611456 is about 1989.1589634740.

The spelling of 7870611456 in words is "seven billion, eight hundred seventy million, six hundred eleven thousand, four hundred fifty-six".