263045742960 has 640 divisors, whose sum is σ = 1104029337600. Its totient is φ = 50448752640.

The previous prime is 263045742923. The next prime is 263045743049. The reversal of 263045742960 is 69247540362.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29064516 + ... + 29073564.

It is an arithmetic number, because the mean of its divisors is an integer number (1725045840).

Almost surely, 2^263045742960 is an apocalyptic number.

263045742960 is a gapful number since it is divisible by the number (20) 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 263045742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552014668800).

263045742960 is an abundant number, since it is smaller than the sum of its proper divisors (840983594640).

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

263045742960 is a wasteful number, since it uses less digits than its factorization.

263045742960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9118 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 263045742960 in words is "two hundred sixty-three billion, forty-five million, seven hundred forty-two thousand, nine hundred sixty".