890072064000 has 2016 divisors, whose sum is σ = 3923972803296. Its totient is φ = 200658124800.

The previous prime is 890072063897. The next prime is 890072064017. The reversal of 890072064000 is 460270098.

890072064000 is a `hidden beast` number, since 8 + 9 + 0 + 0 + 7 + 2 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×890072064000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12192767964 + ... + 12192768036.

It is an arithmetic number, because the mean of its divisors is an integer number (1946415081).

Almost surely, 2^890072064000 is an apocalyptic number.

890072064000 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 890072064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961986401648).

890072064000 is an abundant number, since it is smaller than the sum of its proper divisors (3033900739296).

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

890072064000 is an frugal number, since it uses more digits than its factorization.

890072064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 890072064000 in words is "eight hundred ninety billion, seventy-two million, sixty-four thousand".