19412601264 has 720 divisors, whose sum is σ = 71625415680. Its totient is φ = 5055644160.

The previous prime is 19412601259. The next prime is 19412601293. The reversal of 19412601264 is 46210621491.

19412601264 is a `hidden beast` number, since 1 + 9 + 41 + 2 + 601 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112211482 + ... + 112211654.

It is an arithmetic number, because the mean of its divisors is an integer number (99479744).

Almost surely, 2^19412601264 is an apocalyptic number.

19412601264 is a gapful number since it is divisible by the number (14) 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 19412601264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35812707840).

19412601264 is an abundant number, since it is smaller than the sum of its proper divisors (52212814416).

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

19412601264 is a wasteful number, since it uses less digits than its factorization.

19412601264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 19412601264 in words is "nineteen billion, four hundred twelve million, six hundred one thousand, two hundred sixty-four".