263671873920 has 1536 divisors, whose sum is σ = 1201592770560. Its totient is φ = 53747712000.

The previous prime is 263671873873. The next prime is 263671873939. The reversal of 263671873920 is 29378176362.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 438721620 + ... + 438722220.

It is an arithmetic number, because the mean of its divisors is an integer number (782286960).

Almost surely, 2^263671873920 is an apocalyptic number.

263671873920 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 263671873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600796385280).

263671873920 is an abundant number, since it is smaller than the sum of its proper divisors (937920896640).

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

263671873920 is a wasteful number, since it uses less digits than its factorization.

263671873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 263671873920 in words is "two hundred sixty-three billion, six hundred seventy-one million, eight hundred seventy-three thousand, nine hundred twenty".