8739440640 has 1152 divisors, whose sum is σ = 39249100800. Its totient is φ = 1751777280.

The previous prime is 8739440629. The next prime is 8739440653. The reversal of 8739440640 is 460449378.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 281917425 + ... + 281917455.

It is an arithmetic number, because the mean of its divisors is an integer number (34070400).

Almost surely, 2^8739440640 is an apocalyptic number.

8739440640 is a gapful number since it is divisible by the number (80) 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 8739440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624550400).

8739440640 is an abundant number, since it is smaller than the sum of its proper divisors (30509660160).

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

8739440640 is a wasteful number, since it uses less digits than its factorization.

8739440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

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

The square root of 8739440640 is about 93484.9754773461. The cubic root of 8739440640 is about 2059.8133993795.

The spelling of 8739440640 in words is "eight billion, seven hundred thirty-nine million, four hundred forty thousand, six hundred forty".