867947857920 has 1536 divisors, whose sum is σ = 3754610496000. Its totient is φ = 187280916480.

The previous prime is 867947857919. The next prime is 867947857939. The reversal of 867947857920 is 29758749768.

867947857920 is a `hidden beast` number, since 8 + 6 + 7 + 9 + 47 + 8 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 1146562182 + ... + 1146562938.

It is an arithmetic number, because the mean of its divisors is an integer number (2444407875).

Almost surely, 2^867947857920 is an apocalyptic number.

867947857920 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 867947857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877305248000).

867947857920 is an abundant number, since it is smaller than the sum of its proper divisors (2886662638080).

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

867947857920 is a wasteful number, since it uses less digits than its factorization.

867947857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 867947857920 in words is "eight hundred sixty-seven billion, nine hundred forty-seven million, eight hundred fifty-seven thousand, nine hundred twenty".