6726762900 has 216 divisors, whose sum is σ = 24771268704. Its totient is φ = 1505260800.

The previous prime is 6726762851. The next prime is 6726762937. The reversal of 6726762900 is 92676276.

It is a super-2 number, since 2×6726762900² = 90498678225632820000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102567 + ... + 154833.

Almost surely, 2^6726762900 is an apocalyptic number.

6726762900 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 6726762900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385634352).

6726762900 is an abundant number, since it is smaller than the sum of its proper divisors (18044505804).

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

6726762900 is a wasteful number, since it uses less digits than its factorization.

6726762900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52311 (or 52301 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6726762900 is about 82016.8452209666. The cubic root of 6726762900 is about 1887.7104214046.

It can be divided in two parts, 672676 and 2900, that added together give a palindrome (675576).

The spelling of 6726762900 in words is "six billion, seven hundred twenty-six million, seven hundred sixty-two thousand, nine hundred".