19425320640 has 672 divisors, whose sum is σ = 79828217280. Its totient is φ = 4428103680.

The previous prime is 19425320633. The next prime is 19425320683. The reversal of 19425320640 is 4602352491.

It is a happy number.

19425320640 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 5 + 3 + 2 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 19425320595 and 19425320604.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17771934 + ... + 17773026.

It is an arithmetic number, because the mean of its divisors is an integer number (118791990).

Almost surely, 2^19425320640 is an apocalyptic number.

19425320640 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 19425320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39914108640).

19425320640 is an abundant number, since it is smaller than the sum of its proper divisors (60402896640).

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

19425320640 is a wasteful number, since it uses less digits than its factorization.

19425320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 19425320640 in words is "nineteen billion, four hundred twenty-five million, three hundred twenty thousand, six hundred forty".