905623727040 has 560 divisors, whose sum is σ = 3296302637760. Its totient is φ = 235952455680.

The previous prime is 905623727033. The next prime is 905623727069. The reversal of 905623727040 is 40727326509.

905623727040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 206243245 + ... + 206247635.

Almost surely, 2^905623727040 is an apocalyptic number.

905623727040 is a gapful number since it is divisible by the number (90) 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 905623727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648151318880).

905623727040 is an abundant number, since it is smaller than the sum of its proper divisors (2390678910720).

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

905623727040 is a wasteful number, since it uses less digits than its factorization.

905623727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 905623727040 in words is "nine hundred five billion, six hundred twenty-three million, seven hundred twenty-seven thousand, forty".