2713863398400 has 2640 divisors, whose sum is σ = 13091189253120. Its totient is φ = 538671513600.

The previous prime is 2713863398381. The next prime is 2713863398443. The reversal of 2713863398400 is 48933683172.

2713863398400 is a `hidden beast` number, since 2 + 71 + 3 + 86 + 3 + 3 + 98 + 400 = 666.

2713863398400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3672345231 + ... + 3672345969.

It is an arithmetic number, because the mean of its divisors is an integer number (4958783808).

Almost surely, 2^{2713863398400} is an apocalyptic number.

2713863398400 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 2713863398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545594626560).

2713863398400 is an abundant number, since it is smaller than the sum of its proper divisors (10377325854720).

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

2713863398400 is a wasteful number, since it uses less digits than its factorization.

2713863398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2713863398400 in words is "two trillion, seven hundred thirteen billion, eight hundred sixty-three million, three hundred ninety-eight thousand, four hundred".