2747779478640 has 960 divisors, whose sum is σ = 11543261184000. Its totient is φ = 593417290752.

The previous prime is 2747779478629. The next prime is 2747779478641. The reversal of 2747779478640 is 468749777472.

It is a happy number.

2747779478640 is a `hidden beast` number, since 2 + 7 + 47 + 7 + 79 + 478 + 6 + 40 = 666.

It is a super-2 number, since 2×2747779478640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2747779478641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1145384161 + ... + 1145386559.

It is an arithmetic number, because the mean of its divisors is an integer number (12024230400).

Almost surely, 2^{2747779478640} is an apocalyptic number.

2747779478640 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 2747779478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771630592000).

2747779478640 is an abundant number, since it is smaller than the sum of its proper divisors (8795481705360).

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

2747779478640 is a wasteful number, since it uses less digits than its factorization.

2747779478640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 929359872, while the sum is 72.

The spelling of 2747779478640 in words is "two trillion, seven hundred forty-seven billion, seven hundred seventy-nine million, four hundred seventy-eight thousand, six hundred forty".