7468833792 has 176 divisors, whose sum is σ = 23741793792. Its totient is φ = 2041036800.

The previous prime is 7468833791. The next prime is 7468833793. The reversal of 7468833792 is 2973388647.

It is an interprime number because it is at equal distance from previous prime (7468833791) and next prime (7468833793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7468833791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487042 + ... + 502142.

Almost surely, 2^7468833792 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 7468833792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870896896).

7468833792 is an abundant number, since it is smaller than the sum of its proper divisors (16272960000).

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

7468833792 is a wasteful number, since it uses less digits than its factorization.

7468833792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15154 (or 15136 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The square root of 7468833792 is about 86422.4148702176. The cubic root of 7468833792 is about 1954.7186877712.

The spelling of 7468833792 in words is "seven billion, four hundred sixty-eight million, eight hundred thirty-three thousand, seven hundred ninety-two".