6138045360 has 120 divisors (see below), whose sum is σ = 20740462704. Its totient is φ = 1626739200.

The previous prime is 6138045359. The next prime is 6138045367. The reversal of 6138045360 is 635408316.

6138045360 is a `hidden beast` number, since 613 + 8 + 0 + 4 + 5 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (6138045367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91210 + ... + 143510.

Almost surely, 2^6138045360 is an apocalyptic number.

6138045360 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 6138045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370231352).

6138045360 is an abundant number, since it is smaller than the sum of its proper divisors (14602417344).

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

6138045360 is a wasteful number, since it uses less digits than its factorization.

6138045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52483 (or 52474 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6138045360 is about 78345.6786300304. The cubic root of 6138045360 is about 1830.9508988061.

The spelling of 6138045360 in words is "six billion, one hundred thirty-eight million, forty-five thousand, three hundred sixty".