7847427120 has 480 divisors, whose sum is σ = 29408832000. Its totient is φ = 1719484416.

The previous prime is 7847427089. The next prime is 7847427149. The reversal of 7847427120 is 217247487.

7847427120 = T₇₅ + T₇₆ + ... + T₃₆₁₀.

It is a super-2 number, since 2×7847427120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13100581 + ... + 13101179.

It is an arithmetic number, because the mean of its divisors is an integer number (61268400).

Almost surely, 2^7847427120 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 7847427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704416000).

7847427120 is an abundant number, since it is smaller than the sum of its proper divisors (21561404880).

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

7847427120 is a wasteful number, since it uses less digits than its factorization.

7847427120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 42.

The square root of 7847427120 is about 88585.7049415988. The cubic root of 7847427120 is about 1987.2038978209.

The spelling of 7847427120 in words is "seven billion, eight hundred forty-seven million, four hundred twenty-seven thousand, one hundred twenty".