190064064000 has 160 divisors (see below), whose sum is σ = 631916135136. Its totient is φ = 50683699200.

The previous prime is 190064063993. The next prime is 190064064019. The reversal of 190064064000 is 460460091.

190064064000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×190064064000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302959 + ... + 686958.

Almost surely, 2^190064064000 is an apocalyptic number.

190064064000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190064064000 is an abundant number, since it is smaller than the sum of its proper divisors (441852071136).

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

190064064000 is an frugal number, since it uses more digits than its factorization.

190064064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989953 (or 989927 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 190064064000 in words is "one hundred ninety billion, sixty-four million, sixty-four thousand".