8737079040 has 288 divisors, whose sum is σ = 31162824000. Its totient is φ = 2318008320.

The previous prime is 8737079017. The next prime is 8737079047. The reversal of 8737079040 is 409707378.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8737079047) 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, 8328436 + ... + 8329484.

It is an arithmetic number, because the mean of its divisors is an integer number (108204250).

Almost surely, 2^8737079040 is an apocalyptic number.

8737079040 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 8737079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581412000).

8737079040 is an abundant number, since it is smaller than the sum of its proper divisors (22425744960).

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

8737079040 is a wasteful number, since it uses less digits than its factorization.

8737079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 8737079040 is about 93472.3437172729. The cubic root of 8737079040 is about 2059.6278461786.

The spelling of 8737079040 in words is "eight billion, seven hundred thirty-seven million, seventy-nine thousand, forty".