3792771440640 has 1792 divisors, whose sum is σ = 16769481523200. Its totient is φ = 796644605952.

The previous prime is 3792771440629. The next prime is 3792771440641. The reversal of 3792771440640 is 460441772973.

It is a happy number.

3792771440640 is a `hidden beast` number, since 3 + 7 + 92 + 7 + 71 + 440 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3792771440641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17007943569 + ... + 17007943791.

It is an arithmetic number, because the mean of its divisors is an integer number (9357969600).

Almost surely, 2^{3792771440640} is an apocalyptic number.

3792771440640 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 3792771440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384740761600).

3792771440640 is an abundant number, since it is smaller than the sum of its proper divisors (12976710082560).

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

3792771440640 is an equidigital number, since it uses as much as digits as its factorization.

3792771440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 3792771440640 in words is "three trillion, seven hundred ninety-two billion, seven hundred seventy-one million, four hundred forty thousand, six hundred forty".