7848234240 has 864 divisors, whose sum is σ = 33405173760. Its totient is φ = 1532805120.

The previous prime is 7848234217. The next prime is 7848234283. The reversal of 7848234240 is 424328487.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7848234192 and 7848234201.

It is a congruent number.

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, 61797057 + ... + 61797183.

Almost surely, 2^7848234240 is an apocalyptic number.

7848234240 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 7848234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16702586880).

7848234240 is an abundant number, since it is smaller than the sum of its proper divisors (25556939520).

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

7848234240 is a wasteful number, since it uses less digits than its factorization.

7848234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 7848234240 is about 88590.2604127564. The cubic root of 7848234240 is about 1987.2720244821.

The spelling of 7848234240 in words is "seven billion, eight hundred forty-eight million, two hundred thirty-four thousand, two hundred forty".