19376640000 has 585 divisors, whose sum is σ = 72435167233. Its totient is φ = 4988928000.

The previous prime is 19376639963. The next prime is 19376640043. The reversal of 19376640000 is 4667391.

The square root of 19376640000 is 139200.

It is a perfect power (a square), and thus also a powerful number.

19376640000 is a `hidden beast` number, since 1 + 9 + 3 + 7 + 6 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 14492307456 + 4884332544 = 120384^2 + 69888^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 668159986 + ... + 668160014.

Almost surely, 2^19376640000 is an apocalyptic number.

19376640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19376640000 is the 139200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19376640000

19376640000 is an abundant number, since it is smaller than the sum of its proper divisors (53058527233).

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

19376640000 is an frugal number, since it uses more digits than its factorization.

19376640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 19376640000 by its sum of digits (36), we get a square (697559040000 = 835200²).

19376640000 divided by its sum of digits (36) gives a square (538240000 = 23200²).

The spelling of 19376640000 in words is "nineteen billion, three hundred seventy-six million, six hundred forty thousand".