3767667240960 has 936 divisors, whose sum is σ = 15754151331360. Its totient is φ = 815754903552.

The previous prime is 3767667240919. The next prime is 3767667240977. The reversal of 3767667240960 is 690427667673.

3767667240960 is a `hidden beast` number, since 37 + 6 + 76 + 6 + 72 + 409 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 465772596 + ... + 465780684.

It is an arithmetic number, because the mean of its divisors is an integer number (16831358260).

Almost surely, 2^{3767667240960} is an apocalyptic number.

3767667240960 is a gapful number since it is divisible by the number (30) 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 3767667240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877075665680).

3767667240960 is an abundant number, since it is smaller than the sum of its proper divisors (11986484090400).

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

3767667240960 is a wasteful number, since it uses less digits than its factorization.

3767667240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8169 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 3767667240960 in words is "three trillion, seven hundred sixty-seven billion, six hundred sixty-seven million, two hundred forty thousand, nine hundred sixty".