2363536778400 has 1728 divisors, whose sum is σ = 10613560688640. Its totient is φ = 500948582400.

The previous prime is 2363536778389. The next prime is 2363536778411. The reversal of 2363536778400 is 48776353632.

2363536778400 is a `hidden beast` number, since 2 + 3 + 63 + 53 + 67 + 78 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2363536778389) and next prime (2363536778411).

It is a super-4 number, since 4×2363536778400⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 287 ways as a sum of consecutive naturals, for example, 1642484881 + ... + 1642486319.

It is an arithmetic number, because the mean of its divisors is an integer number (6142106880).

Almost surely, 2^{2363536778400} is an apocalyptic number.

2363536778400 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 2363536778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306780344320).

2363536778400 is an abundant number, since it is smaller than the sum of its proper divisors (8250023910240).

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

2363536778400 is a wasteful number, since it uses less digits than its factorization.

2363536778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 2363536778400 in words is "two trillion, three hundred sixty-three billion, five hundred thirty-six million, seven hundred seventy-eight thousand, four hundred".