7842692352 has 288 divisors, whose sum is σ = 23998980096. Its totient is φ = 2250547200.

The previous prime is 7842692323. The next prime is 7842692353. The reversal of 7842692352 is 2532962487.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842692353) 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, 35168913 + ... + 35169135.

It is an arithmetic number, because the mean of its divisors is an integer number (83329792).

Almost surely, 2^7842692352 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 7842692352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999490048).

7842692352 is an abundant number, since it is smaller than the sum of its proper divisors (16156287744).

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

7842692352 is a wasteful number, since it uses less digits than its factorization.

7842692352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 7842692352 is about 88558.9766878547. The cubic root of 7842692352 is about 1986.8041556625.

The spelling of 7842692352 in words is "seven billion, eight hundred forty-two million, six hundred ninety-two thousand, three hundred fifty-two".