6652374220800 has 3672 divisors, whose sum is σ = 32372465029632. Its totient is φ = 1337720832000.

The previous prime is 6652374220741. The next prime is 6652374220813. The reversal of 6652374220800 is 80224732566.

6652374220800 is a `hidden beast` number, since 6 + 6 + 52 + 374 + 220 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 214592716785 + ... + 214592716815.

Almost surely, 2^{6652374220800} is an apocalyptic number.

6652374220800 is a gapful number since it is divisible by the number (60) 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 6652374220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186232514816).

6652374220800 is an abundant number, since it is smaller than the sum of its proper divisors (25720090808832).

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

6652374220800 is an equidigital number, since it uses as much as digits as its factorization.

6652374220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 6652374220800 in words is "six trillion, six hundred fifty-two billion, three hundred seventy-four million, two hundred twenty thousand, eight hundred".