8693879040 has 1008 divisors, whose sum is σ = 39248528256. Its totient is φ = 1806520320.

The previous prime is 8693879023. The next prime is 8693879053. The reversal of 8693879040 is 409783968.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 790352635 + ... + 790352645.

It is an arithmetic number, because the mean of its divisors is an integer number (38937032).

Almost surely, 2^8693879040 is an apocalyptic number.

8693879040 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 8693879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624264128).

8693879040 is an abundant number, since it is smaller than the sum of its proper divisors (30554649216).

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

8693879040 is an frugal number, since it uses more digits than its factorization.

8693879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8693879040 is about 93240.9729678965. The cubic root of 8693879040 is about 2056.2276643330.

The spelling of 8693879040 in words is "eight billion, six hundred ninety-three million, eight hundred seventy-nine thousand, forty".