7612243296 has 288 divisors, whose sum is σ = 24945096960. Its totient is φ = 2020322304.

The previous prime is 7612243279. The next prime is 7612243319. The reversal of 7612243296 is 6923422167.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4736125 + ... + 4737731.

It is an arithmetic number, because the mean of its divisors is an integer number (86614920).

Almost surely, 2^7612243296 is an apocalyptic number.

7612243296 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7612243296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472548480).

7612243296 is an abundant number, since it is smaller than the sum of its proper divisors (17332853664).

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

7612243296 is a wasteful number, since it uses less digits than its factorization.

7612243296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1691 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 7612243296 is about 87248.1707315403. The cubic root of 7612243296 is about 1967.1503454355.

The spelling of 7612243296 in words is "seven billion, six hundred twelve million, two hundred forty-three thousand, two hundred ninety-six".