190761640667136 has 1152 divisors, whose sum is σ = 718189858713600. Its totient is φ = 47389906206720.

The previous prime is 190761640667111. The next prime is 190761640667239. The reversal of 190761640667136 is 631766046167091.

190761640667136 is a `hidden beast` number, since 1 + 9 + 0 + 7 + 616 + 4 + 0 + 6 + 6 + 7 + 1 + 3 + 6 = 666.

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 (63).

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, 17268179565 + ... + 17268190611.

It is an arithmetic number, because the mean of its divisors is an integer number (623428696800).

Almost surely, 2^{190761640667136} is an apocalyptic number.

190761640667136 is a gapful number since it is divisible by the number (16) 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 190761640667136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359094929356800).

190761640667136 is an abundant number, since it is smaller than the sum of its proper divisors (527428218046464).

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

190761640667136 is a wasteful number, since it uses less digits than its factorization.

190761640667136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11162 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 190761640667136 in words is "one hundred ninety trillion, seven hundred sixty-one billion, six hundred forty million, six hundred sixty-seven thousand, one hundred thirty-six".