6010736336640 has 1008 divisors, whose sum is σ = 24969784992768. Its totient is φ = 1357207363584.

The previous prime is 6010736336629. The next prime is 6010736336659. The reversal of 6010736336640 is 466336370106.

6010736336640 is a `hidden beast` number, since 6 + 0 + 1 + 0 + 7 + 3 + 633 + 6 + 6 + 4 + 0 = 666.

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

It is a super-2 number, since 2×6010736336640² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 542137177 + ... + 542148263.

It is an arithmetic number, because the mean of its divisors is an integer number (24771612096).

Almost surely, 2^{6010736336640} is an apocalyptic number.

6010736336640 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 6010736336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484892496384).

6010736336640 is an abundant number, since it is smaller than the sum of its proper divisors (18959048656128).

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

6010736336640 is an equidigital number, since it uses as much as digits as its factorization.

6010736336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11216 (or 11187 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 6010736336640 in words is "six trillion, ten billion, seven hundred thirty-six million, three hundred thirty-six thousand, six hundred forty".