6142976640 has 192 divisors, whose sum is σ = 22329309600. Its totient is φ = 1551882240.

The previous prime is 6142976633. The next prime is 6142976641. The reversal of 6142976640 is 466792416.

6142976640 is a `hidden beast` number, since 614 + 29 + 7 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (6142976641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81375 + ... + 137505.

Almost surely, 2^6142976640 is an apocalyptic number.

6142976640 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 6142976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164654800).

6142976640 is an abundant number, since it is smaller than the sum of its proper divisors (16186332960).

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

6142976640 is a wasteful number, since it uses less digits than its factorization.

6142976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56175 (or 56160 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6142976640 is about 78377.1436070491. The cubic root of 6142976640 is about 1831.4410936571.

The spelling of 6142976640 in words is "six billion, one hundred forty-two million, nine hundred seventy-six thousand, six hundred forty".