905878743840 has 288 divisors, whose sum is σ = 3537391253760. Its totient is φ = 206796367872.

The previous prime is 905878743823. The next prime is 905878743859. The reversal of 905878743840 is 48347878509.

905878743840 is a `hidden beast` number, since 9 + 0 + 5 + 87 + 87 + 438 + 40 = 666.

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

It is a super-2 number, since 2×905878743840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7977381 + ... + 8090139.

It is an arithmetic number, because the mean of its divisors is an integer number (12282608520).

Almost surely, 2^905878743840 is an apocalyptic number.

905878743840 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 905878743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768695626880).

905878743840 is an abundant number, since it is smaller than the sum of its proper divisors (2631512509920).

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

905878743840 is a wasteful number, since it uses less digits than its factorization.

905878743840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113584 (or 113573 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 905878743840 in words is "nine hundred five billion, eight hundred seventy-eight million, seven hundred forty-three thousand, eight hundred forty".