6181413600 has 72 divisors (see below), whose sum is σ = 20120509080. Its totient is φ = 1648376320.

The previous prime is 6181413593. The next prime is 6181413607. The reversal of 6181413600 is 63141816.

It is an interprime number because it is at equal distance from previous prime (6181413593) and next prime (6181413607).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6181413607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1285395 + ... + 1290194.

It is an arithmetic number, because the mean of its divisors is an integer number (279451515).

Almost surely, 2^6181413600 is an apocalyptic number.

6181413600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6181413600 is an abundant number, since it is smaller than the sum of its proper divisors (13939095480).

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

6181413600 is a wasteful number, since it uses less digits than its factorization.

6181413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575612 (or 2575599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6181413600 is about 78621.9663961669. The cubic root of 6181413600 is about 1835.2529652470.

The spelling of 6181413600 in words is "six billion, one hundred eighty-one million, four hundred thirteen thousand, six hundred".