190921328640 has 1152 divisors, whose sum is σ = 799332468480. Its totient is φ = 42807066624.

The previous prime is 190921328617. The next prime is 190921328669. The reversal of 190921328640 is 46823129091.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1689569224 + ... + 1689569336.

It is an arithmetic number, because the mean of its divisors is an integer number (693864990).

Almost surely, 2^190921328640 is an apocalyptic number.

190921328640 is a gapful number since it is divisible by the number (10) 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 190921328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399666234240).

190921328640 is an abundant number, since it is smaller than the sum of its proper divisors (608411139840).

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

190921328640 is an equidigital number, since it uses as much as digits as its factorization.

190921328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 190921328640 in words is "one hundred ninety billion, nine hundred twenty-one million, three hundred twenty-eight thousand, six hundred forty".