263041352640 has 448 divisors, whose sum is σ = 1018433848320. Its totient is φ = 63381934080.

The previous prime is 263041352611. The next prime is 263041352641. The reversal of 263041352640 is 46253140362.

263041352640 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 4 + 1 + 3 + 5 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 263041352595 and 263041352604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263041352641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15863394 + ... + 15879966.

It is an arithmetic number, because the mean of its divisors is an integer number (2273289840).

Almost surely, 2^263041352640 is an apocalyptic number.

263041352640 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 263041352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509216924160).

263041352640 is an abundant number, since it is smaller than the sum of its proper divisors (755392495680).

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

263041352640 is a wasteful number, since it uses less digits than its factorization.

263041352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16777 (or 16761 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 263041352640 in words is "two hundred sixty-three billion, forty-one million, three hundred fifty-two thousand, six hundred forty".