19260692640 has 432 divisors, whose sum is σ = 80960646312. Its totient is φ = 4143218688.

The previous prime is 19260692609. The next prime is 19260692701. The reversal of 19260692640 is 4629606291.

19260692640 is a `hidden beast` number, since 19 + 2 + 606 + 9 + 26 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17149473936 + 2111218704 = 130956^2 + 45948^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1191492 + ... + 1207548.

Almost surely, 2^19260692640 is an apocalyptic number.

19260692640 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 19260692640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40480323156).

19260692640 is an abundant number, since it is smaller than the sum of its proper divisors (61699953672).

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

19260692640 is a wasteful number, since it uses less digits than its factorization.

19260692640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16109 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 19260692640 in words is "nineteen billion, two hundred sixty million, six hundred ninety-two thousand, six hundred forty".