190947308912640 has 2880 divisors, whose sum is σ = 859106512414080. Its totient is φ = 39953262182400.

The previous prime is 190947308912629. The next prime is 190947308912653. The reversal of 190947308912640 is 46219803749091.

190947308912640 is a `hidden beast` number, since 1 + 90 + 9 + 473 + 0 + 8 + 9 + 12 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 191 ways as a sum of consecutive naturals, for example, 68171119240 + ... + 68171122040.

It is an arithmetic number, because the mean of its divisors is an integer number (298300872366).

Almost surely, 2^{190947308912640} is an apocalyptic number.

190947308912640 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 190947308912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429553256207040).

190947308912640 is an abundant number, since it is smaller than the sum of its proper divisors (668159203501440).

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

190947308912640 is a wasteful number, since it uses less digits than its factorization.

190947308912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2872 counting only the distinct ones).

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

The spelling of 190947308912640 in words is "one hundred ninety trillion, nine hundred forty-seven billion, three hundred eight million, nine hundred twelve thousand, six hundred forty".