7643844096 has 640 divisors, whose sum is σ = 27152547840. Its totient is φ = 1857945600.

The previous prime is 7643844067. The next prime is 7643844139. The reversal of 7643844096 is 6904483467.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107659741 + ... + 107659811.

It is an arithmetic number, because the mean of its divisors is an integer number (42425856).

Almost surely, 2^7643844096 is an apocalyptic number.

7643844096 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 7643844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13576273920).

7643844096 is an abundant number, since it is smaller than the sum of its proper divisors (19508703744).

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

7643844096 is a wasteful number, since it uses less digits than its factorization.

7643844096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

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

The square root of 7643844096 is about 87429.0803794710. The cubic root of 7643844096 is about 1969.8686725651.

The spelling of 7643844096 in words is "seven billion, six hundred forty-three million, eight hundred forty-four thousand, ninety-six".