191479904640 has 320 divisors, whose sum is σ = 690598584720. Its totient is φ = 50554368000.

The previous prime is 191479904579. The next prime is 191479904647. The reversal of 191479904640 is 46409974191.

191479904640 is a `hidden beast` number, since 1 + 9 + 1 + 479 + 90 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191479904647) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5217555 + ... + 5254125.

Almost surely, 2^191479904640 is an apocalyptic number.

191479904640 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 191479904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345299292360).

191479904640 is an abundant number, since it is smaller than the sum of its proper divisors (499118680080).

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

191479904640 is a wasteful number, since it uses less digits than its factorization.

191479904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36703 (or 36682 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 191479904640 in words is "one hundred ninety-one billion, four hundred seventy-nine million, nine hundred four thousand, six hundred forty".