190751933664 has 480 divisors, whose sum is σ = 608176356480. Its totient is φ = 58462829568.

The previous prime is 190751933657. The next prime is 190751933693. The reversal of 190751933664 is 466339157091.

190751933664 is a `hidden beast` number, since 1 + 90 + 7 + 5 + 193 + 366 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 190751933664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 279285067 + ... + 279285749.

It is an arithmetic number, because the mean of its divisors is an integer number (1267034076).

Almost surely, 2^190751933664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190751933664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304088178240).

190751933664 is an abundant number, since it is smaller than the sum of its proper divisors (417424422816).

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

190751933664 is a wasteful number, since it uses less digits than its factorization.

190751933664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 190751933664 in words is "one hundred ninety billion, seven hundred fifty-one million, nine hundred thirty-three thousand, six hundred sixty-four".