19707494400 has 768 divisors, whose sum is σ = 79963185600. Its totient is φ = 4777574400.

The previous prime is 19707494399. The next prime is 19707494423. The reversal of 19707494400 is 449470791.

19707494400 is a `hidden beast` number, since 1 + 97 + 0 + 74 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 1791590395 + ... + 1791590405.

Almost surely, 2^19707494400 is an apocalyptic number.

19707494400 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 19707494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39981592800).

19707494400 is an abundant number, since it is smaller than the sum of its proper divisors (60255691200).

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

19707494400 is an frugal number, since it uses more digits than its factorization.

19707494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 19707494400 in words is "nineteen billion, seven hundred seven million, four hundred ninety-four thousand, four hundred".