864754217028000 has 3840 divisors, whose sum is σ = 3705138400803840. Its totient is φ = 195764760576000.

The previous prime is 864754217027999. The next prime is 864754217028223. The reversal of 864754217028000 is 820712457468.

864754217028000 is a `hidden beast` number, since 8 + 6 + 4 + 7 + 542 + 1 + 70 + 28 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 890581067515 + ... + 890581068485.

It is an arithmetic number, because the mean of its divisors is an integer number (964879791876).

Almost surely, 2^{864754217028000} is an apocalyptic number.

864754217028000 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 864754217028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852569200401920).

864754217028000 is an abundant number, since it is smaller than the sum of its proper divisors (2840384183775840).

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

864754217028000 is a wasteful number, since it uses less digits than its factorization.

864754217028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 864754217028000 in words is "eight hundred sixty-four trillion, seven hundred fifty-four billion, two hundred seventeen million, twenty-eight thousand".