1972837666800 has 2160 divisors, whose sum is σ = 9427556410272. Its totient is φ = 375537254400.

The previous prime is 1972837666799. The next prime is 1972837666831. The reversal of 1972837666800 is 86667382791.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4969364202 + ... + 4969364598.

Almost surely, 2^{1972837666800} is an apocalyptic number.

1972837666800 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 1972837666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713778205136).

1972837666800 is an abundant number, since it is smaller than the sum of its proper divisors (7454718743472).

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

1972837666800 is a wasteful number, since it uses less digits than its factorization.

1972837666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1972837666800 in words is "one trillion, nine hundred seventy-two billion, eight hundred thirty-seven million, six hundred sixty-six thousand, eight hundred".