868228045719840 has 3072 divisors, whose sum is σ = 3662073483264000. Its totient is φ = 189946845462528.

The previous prime is 868228045719809. The next prime is 868228045719869. The reversal of 868228045719840 is 48917540822868.

868228045719840 is a `hidden beast` number, since 8 + 6 + 8 + 2 + 2 + 8 + 0 + 4 + 571 + 9 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1054955097669 + ... + 1054955098491.

It is an arithmetic number, because the mean of its divisors is an integer number (1192081212000).

Almost surely, 2^{868228045719840} is an apocalyptic number.

868228045719840 is a gapful number since it is divisible by the number (80) 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 868228045719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831036741632000).

868228045719840 is an abundant number, since it is smaller than the sum of its proper divisors (2793845437544160).

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

868228045719840 is a wasteful number, since it uses less digits than its factorization.

868228045719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 868228045719840 in words is "eight hundred sixty-eight trillion, two hundred twenty-eight billion, forty-five million, seven hundred nineteen thousand, eight hundred forty".