7739384640 has 224 divisors, whose sum is σ = 28020142080. Its totient is φ = 1792966656.

The previous prime is 7739384617. The next prime is 7739384641. The reversal of 7739384640 is 464839377.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7739384641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193921 + ... + 230399.

It is an arithmetic number, because the mean of its divisors is an integer number (125089920).

Almost surely, 2^7739384640 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 7739384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14010071040).

7739384640 is an abundant number, since it is smaller than the sum of its proper divisors (20280757440).

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

7739384640 is a wasteful number, since it uses less digits than its factorization.

7739384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36529 (or 36519 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The square root of 7739384640 is about 87973.7724552039. The cubic root of 7739384640 is about 1978.0418555581.

The spelling of 7739384640 in words is "seven billion, seven hundred thirty-nine million, three hundred eighty-four thousand, six hundred forty".