7643201376 has 96 divisors (see below), whose sum is σ = 20272508928. Its totient is φ = 2521290240.

The previous prime is 7643201359. The next prime is 7643201387. The reversal of 7643201376 is 6731023467.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9424011 + ... + 9424821.

It is an arithmetic number, because the mean of its divisors is an integer number (211171968).

Almost surely, 2^7643201376 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 7643201376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136254464).

7643201376 is an abundant number, since it is smaller than the sum of its proper divisors (12629307552).

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

7643201376 is a wasteful number, since it uses less digits than its factorization.

7643201376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 7643201376 is about 87425.4046373250. The cubic root of 7643201376 is about 1969.8134599668.

The spelling of 7643201376 in words is "seven billion, six hundred forty-three million, two hundred one thousand, three hundred seventy-six".