19975237632 has 624 divisors, whose sum is σ = 70984123392. Its totient is φ = 5494210560.

The previous prime is 19975237627. The next prime is 19975237661. The reversal of 19975237632 is 23673257991.

19975237632 is a `hidden beast` number, since 19 + 9 + 7 + 523 + 76 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4286520) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

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, 327462882 + ... + 327462942.

It is an arithmetic number, because the mean of its divisors is an integer number (113756608).

Almost surely, 2^19975237632 is an apocalyptic number.

19975237632 is a gapful number since it is divisible by the number (12) 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 19975237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35492061696).

19975237632 is an abundant number, since it is smaller than the sum of its proper divisors (51008885760).

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

19975237632 is an frugal number, since it uses more digits than its factorization.

19975237632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 19975237632 in words is "nineteen billion, nine hundred seventy-five million, two hundred thirty-seven thousand, six hundred thirty-two".