905138572632 has 768 divisors, whose sum is σ = 2942776811520. Its totient is φ = 230488473600.

The previous prime is 905138572607. The next prime is 905138572649. The reversal of 905138572632 is 236275831509.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3884714788 + ... + 3884715020.

It is an arithmetic number, because the mean of its divisors is an integer number (3831740640).

Almost surely, 2^905138572632 is an apocalyptic number.

905138572632 is a gapful number since it is divisible by the number (92) 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 905138572632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471388405760).

905138572632 is an abundant number, since it is smaller than the sum of its proper divisors (2037638238888).

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

905138572632 is a wasteful number, since it uses less digits than its factorization.

905138572632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 905138572632 in words is "nine hundred five billion, one hundred thirty-eight million, five hundred seventy-two thousand, six hundred thirty-two".