2357993078784 has 1360 divisors, whose sum is σ = 8769719439360. Its totient is φ = 616625602560.

The previous prime is 2357993078759. The next prime is 2357993078789. The reversal of 2357993078784 is 4878703997532.

2357993078784 is a `hidden beast` number, since 2 + 357 + 99 + 30 + 7 + 87 + 84 = 666.

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 (2357993078789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26494304212 + ... + 26494304300.

Almost surely, 2^{2357993078784} is an apocalyptic number.

2357993078784 is a gapful number since it is divisible by the number (24) 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 2357993078784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384859719680).

2357993078784 is an abundant number, since it is smaller than the sum of its proper divisors (6411726360576).

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

2357993078784 is an frugal number, since it uses more digits than its factorization.

2357993078784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 2357993078784 in words is "two trillion, three hundred fifty-seven billion, nine hundred ninety-three million, seventy-eight thousand, seven hundred eighty-four".