2747674016640 has 2048 divisors, whose sum is σ = 11967077376000. Its totient is φ = 589648232448.

The previous prime is 2747674016639. The next prime is 2747674016687. The reversal of 2747674016640 is 466104767472.

2747674016640 is a `hidden beast` number, since 2 + 7 + 476 + 7 + 4 + 0 + 166 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20056014652 + ... + 20056014788.

It is an arithmetic number, because the mean of its divisors is an integer number (5843299500).

Almost surely, 2^{2747674016640} is an apocalyptic number.

2747674016640 is a gapful number since it is divisible by the number (20) 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 2747674016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983538688000).

2747674016640 is an abundant number, since it is smaller than the sum of its proper divisors (9219403359360).

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

2747674016640 is an equidigital number, since it uses as much as digits as its factorization.

2747674016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 2747674016640 in words is "two trillion, seven hundred forty-seven billion, six hundred seventy-four million, sixteen thousand, six hundred forty".