6722041436100 has 81 divisors (see below), whose sum is σ = 21070109236813. Its totient is φ = 1792523641440.

The previous prime is 6722041436087. The next prime is 6722041436147. The reversal of 6722041436100 is 16341402276.

The square root of 6722041436100 is 2592690.

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

6722041436100 is a `hidden beast` number, since 6 + 7 + 2 + 20 + 4 + 14 + 3 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2419934916996 + 4302106519104 = 1555614^2 + 2074152^2 .

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 26 ways as a sum of consecutive naturals, for example, 77737489 + ... + 77823911.

Almost surely, 2^{6722041436100} is an apocalyptic number.

6722041436100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6722041436100 is the 2592690-th square number.

It is an amenable number.

6722041436100 is an abundant number, since it is smaller than the sum of its proper divisors (14348067800713).

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

6722041436100 is an frugal number, since it uses more digits than its factorization.

6722041436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172866 (or 86433 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 6722041436100 by its sum of digits (36), we get a square (241993491699600 = 15556140²).

6722041436100 divided by its sum of digits (36) gives a square (186723373225 = 432115²).

Adding to 6722041436100 its reverse (16341402276), we get a palindrome (6738382838376).

It can be divided in two parts, 672204 and 1436100, that added together give a square (2108304 = 1452²).

The spelling of 6722041436100 in words is "six trillion, seven hundred twenty-two billion, forty-one million, four hundred thirty-six thousand, one hundred".