7694248320 has 640 divisors, whose sum is σ = 30497575680. Its totient is φ = 1833062400.

The previous prime is 7694248283. The next prime is 7694248333. The reversal of 7694248320 is 238424967.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58734655 + ... + 58734785.

It is an arithmetic number, because the mean of its divisors is an integer number (47652462).

Almost surely, 2^7694248320 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 7694248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15248787840).

7694248320 is an abundant number, since it is smaller than the sum of its proper divisors (22803327360).

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

7694248320 is a wasteful number, since it uses less digits than its factorization.

7694248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7694248320 is about 87716.8645130456. The cubic root of 7694248320 is about 1974.1890230205.

The spelling of 7694248320 in words is "seven billion, six hundred ninety-four million, two hundred forty-eight thousand, three hundred twenty".