6140736000 has 480 divisors, whose sum is σ = 25294059648. Its totient is φ = 1402675200.

The previous prime is 6140735981. The next prime is 6140736013. The reversal of 6140736000 is 6370416.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4031239 + ... + 4032761.

Almost surely, 2^6140736000 is an apocalyptic number.

6140736000 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 6140736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647029824).

6140736000 is an abundant number, since it is smaller than the sum of its proper divisors (19153323648).

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

6140736000 is a wasteful number, since it uses less digits than its factorization.

6140736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6140736000 is about 78362.8483402690. The cubic root of 6140736000 is about 1831.2183949319.

The spelling of 6140736000 in words is "six billion, one hundred forty million, seven hundred thirty-six thousand".