190821697136640 has 3840 divisors, whose sum is σ = 787115355586560. Its totient is φ = 43948588400640.

The previous prime is 190821697136639. The next prime is 190821697136659. The reversal of 190821697136640 is 46631796128091.

190821697136640 is a `hidden beast` number, since 1 + 9 + 0 + 8 + 2 + 169 + 71 + 366 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1502533048257 + ... + 1502533048383.

It is an arithmetic number, because the mean of its divisors is an integer number (204977957184).

Almost surely, 2^{190821697136640} is an apocalyptic number.

190821697136640 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 190821697136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393557677793280).

190821697136640 is an abundant number, since it is smaller than the sum of its proper divisors (596293658449920).

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

190821697136640 is a wasteful number, since it uses less digits than its factorization.

190821697136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 190821697136640 in words is "one hundred ninety trillion, eight hundred twenty-one billion, six hundred ninety-seven million, one hundred thirty-six thousand, six hundred forty".