7861069440 has 896 divisors, whose sum is σ = 33713366400. Its totient is φ = 1713954816.

The previous prime is 7861069417. The next prime is 7861069529. The reversal of 7861069440 is 449601687.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 94711639 + ... + 94711721.

It is an arithmetic number, because the mean of its divisors is an integer number (37626525).

Almost surely, 2^7861069440 is an apocalyptic number.

7861069440 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 7861069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16856683200).

7861069440 is an abundant number, since it is smaller than the sum of its proper divisors (25852296960).

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

7861069440 is an equidigital number, since it uses as much as digits as its factorization.

7861069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7861069440 is about 88662.6721907252. The cubic root of 7861069440 is about 1988.3547793532.

The spelling of 7861069440 in words is "seven billion, eight hundred sixty-one million, sixty-nine thousand, four hundred forty".