7861484160 has 320 divisors, whose sum is σ = 28302674400. Its totient is φ = 2079406080.

The previous prime is 7861484149. The next prime is 7861484161. The reversal of 7861484160 is 614841687.

7861484160 is a `hidden beast` number, since 7 + 8 + 6 + 1 + 484 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-4 number, since 4×7861484160⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7861484161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7205215 + ... + 7206305.

Almost surely, 2^7861484160 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 7861484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151337200).

7861484160 is an abundant number, since it is smaller than the sum of its proper divisors (20441190240).

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

7861484160 is a wasteful number, since it uses less digits than its factorization.

7861484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7861484160 is about 88665.0109118586. The cubic root of 7861484160 is about 1988.3897447397.

The spelling of 7861484160 in words is "seven billion, eight hundred sixty-one million, four hundred eighty-four thousand, one hundred sixty".