6002761493664 has 288 divisors, whose sum is σ = 19436306460480. Its totient is φ = 1742079799296.

The previous prime is 6002761493639. The next prime is 6002761493689. The reversal of 6002761493664 is 4663941672006.

It is a happy number.

6002761493664 is a `hidden beast` number, since 6 + 0 + 0 + 276 + 1 + 4 + 9 + 366 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6002761493639) and next prime (6002761493689).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 6002761493664.

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, 15962004 + ... + 16333740.

It is an arithmetic number, because the mean of its divisors is an integer number (67487175210).

Almost surely, 2^{6002761493664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6002761493664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718153230240).

6002761493664 is an abundant number, since it is smaller than the sum of its proper divisors (13433544966816).

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

6002761493664 is a wasteful number, since it uses less digits than its factorization.

6002761493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372012 (or 372001 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 6002761493664 in words is "six trillion, two billion, seven hundred sixty-one million, four hundred ninety-three thousand, six hundred sixty-four".