6067736640 has 1008 divisors, whose sum is σ = 26741445120. Its totient is φ = 1254113280.

The previous prime is 6067736599. The next prime is 6067736677. The reversal of 6067736640 is 466377606.

6067736640 is a `hidden beast` number, since 606 + 7 + 7 + 36 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83119644 + ... + 83119716.

Almost surely, 2^6067736640 is an apocalyptic number.

6067736640 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 6067736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370722560).

6067736640 is an abundant number, since it is smaller than the sum of its proper divisors (20673708480).

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

6067736640 is a wasteful number, since it uses less digits than its factorization.

6067736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 6067736640 is about 77895.6779288813. The cubic root of 6067736640 is about 1823.9331115822.

The spelling of 6067736640 in words is "six billion, sixty-seven million, seven hundred thirty-six thousand, six hundred forty".