6613506900 has 576 divisors, whose sum is σ = 28558172160. Its totient is φ = 1268006400.

The previous prime is 6613506899. The next prime is 6613506929. The reversal of 6613506900 is 96053166.

6613506900 is a `hidden beast` number, since 6 + 61 + 3 + 506 + 90 + 0 = 666.

It is a super-2 number, since 2×6613506900² = 87476947032695220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2701477 + ... + 2703923.

It is an arithmetic number, because the mean of its divisors is an integer number (49580160).

Almost surely, 2^6613506900 is an apocalyptic number.

6613506900 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 6613506900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279086080).

6613506900 is an abundant number, since it is smaller than the sum of its proper divisors (21944665260).

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

6613506900 is a wasteful number, since it uses less digits than its factorization.

6613506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 6613506900 is about 81323.4707818106. The cubic root of 6613506900 is about 1877.0561763165.

The spelling of 6613506900 in words is "six billion, six hundred thirteen million, five hundred six thousand, nine hundred".