7981800652800 has 1920 divisors, whose sum is σ = 33589088702400. Its totient is φ = 1857520926720.

The previous prime is 7981800652799. The next prime is 7981800652807. The reversal of 7981800652800 is 82560081897.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×7981800652800² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7981800652807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16389734157 + ... + 16389734643.

Almost surely, 2^{7981800652800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7981800652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16794544351200).

7981800652800 is an abundant number, since it is smaller than the sum of its proper divisors (25607288049600).

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

7981800652800 is a wasteful number, since it uses less digits than its factorization.

7981800652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 7981800652800 in words is "seven trillion, nine hundred eighty-one billion, eight hundred million, six hundred fifty-two thousand, eight hundred".