867428352000 has 1680 divisors, whose sum is σ = 3754487947392. Its totient is φ = 195880550400.

The previous prime is 867428351989. The next prime is 867428352017. The reversal of 867428352000 is 253824768.

867428352000 is a `hidden beast` number, since 8 + 6 + 7 + 42 + 83 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10450943959 + ... + 10450944041.

Almost surely, 2^867428352000 is an apocalyptic number.

867428352000 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 867428352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877243973696).

867428352000 is an abundant number, since it is smaller than the sum of its proper divisors (2887059595392).

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

867428352000 is an frugal number, since it uses more digits than its factorization.

867428352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 867428352000 in words is "eight hundred sixty-seven billion, four hundred twenty-eight million, three hundred fifty-two thousand".