268772821020 has 576 divisors, whose sum is σ = 933600245760. Its totient is φ = 62021836800.

The previous prime is 268772820991. The next prime is 268772821027. The reversal of 268772821020 is 20128277862.

268772821020 is a `hidden beast` number, since 268 + 7 + 7 + 282 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268772821027) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 641462371 + ... + 641462789.

It is an arithmetic number, because the mean of its divisors is an integer number (1620833760).

Almost surely, 2^268772821020 is an apocalyptic number.

268772821020 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 268772821020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466800122880).

268772821020 is an abundant number, since it is smaller than the sum of its proper divisors (664827424740).

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

268772821020 is a wasteful number, since it uses less digits than its factorization.

268772821020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 268772821020 in words is "two hundred sixty-eight billion, seven hundred seventy-two million, eight hundred twenty-one thousand, twenty".