7842126864 has 160 divisors (see below), whose sum is σ = 23852723328. Its totient is φ = 2188800000.

The previous prime is 7842126839. The next prime is 7842126869. The reversal of 7842126864 is 4686212487.

It is a super-2 number, since 2×7842126864² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7842126869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4124314 + ... + 4126214.

Almost surely, 2^7842126864 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 7842126864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926361664).

7842126864 is an abundant number, since it is smaller than the sum of its proper divisors (16010596464).

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

7842126864 is a wasteful number, since it uses less digits than its factorization.

7842126864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2531 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 7842126864 is about 88555.7839104821. The cubic root of 7842126864 is about 1986.7564024649.

The spelling of 7842126864 in words is "seven billion, eight hundred forty-two million, one hundred twenty-six thousand, eight hundred sixty-four".