8733493440 has 560 divisors, whose sum is σ = 36028030560. Its totient is φ = 1991485440.

The previous prime is 8733493429. The next prime is 8733493519. The reversal of 8733493440 is 443943378.

It is a tau number, because it is divible by the number of its divisors (560).

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

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, 20744430 + ... + 20744850.

Almost surely, 2^8733493440 is an apocalyptic number.

8733493440 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 8733493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014015280).

8733493440 is an abundant number, since it is smaller than the sum of its proper divisors (27294537120).

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

8733493440 is an equidigital number, since it uses as much as digits as its factorization.

8733493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 8733493440 is about 93453.1617442663. The cubic root of 8733493440 is about 2059.3460581790.

The spelling of 8733493440 in words is "eight billion, seven hundred thirty-three million, four hundred ninety-three thousand, four hundred forty".