7829922464 has 144 divisors (see below), whose sum is σ = 19935853056. Its totient is φ = 2997388800.

The previous prime is 7829922461. The next prime is 7829922467. The reversal of 7829922464 is 4642299287.

It is an interprime number because it is at equal distance from previous prime (7829922461) and next prime (7829922467).

It is a super-2 number, since 2×7829922464² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7829922461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625709 + ... + 638099.

It is an arithmetic number, because the mean of its divisors is an integer number (138443424).

Almost surely, 2^7829922464 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 7829922464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9967926528).

7829922464 is an abundant number, since it is smaller than the sum of its proper divisors (12105930592).

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

7829922464 is a wasteful number, since it uses less digits than its factorization.

7829922464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12459 (or 12444 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The square root of 7829922464 is about 88486.8491019993. The cubic root of 7829922464 is about 1985.7252298652.

The spelling of 7829922464 in words is "seven billion, eight hundred twenty-nine million, nine hundred twenty-two thousand, four hundred sixty-four".