7829362464 has 192 divisors, whose sum is σ = 26507658240. Its totient is φ = 1963422720.

The previous prime is 7829362459. The next prime is 7829362559. The reversal of 7829362464 is 4642639287.

It is a super-2 number, since 2×7829362464² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196107 + ... + 232629.

It is an arithmetic number, because the mean of its divisors is an integer number (138060720).

Almost surely, 2^7829362464 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 7829362464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253829120).

7829362464 is an abundant number, since it is smaller than the sum of its proper divisors (18678295776).

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

7829362464 is a wasteful number, since it uses less digits than its factorization.

7829362464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36583 (or 36575 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 7829362464 is about 88483.6847334016. The cubic root of 7829362464 is about 1985.6778887135.

The spelling of 7829362464 in words is "seven billion, eight hundred twenty-nine million, three hundred sixty-two thousand, four hundred sixty-four".