2364790206720 has 576 divisors, whose sum is σ = 7937217630720. Its totient is φ = 599497113600.

The previous prime is 2364790206719. The next prime is 2364790206731. The reversal of 2364790206720 is 276020974632.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2364790206720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 994862172 + ... + 994864548.

It is an arithmetic number, because the mean of its divisors is an integer number (13779891720).

Almost surely, 2^{2364790206720} is an apocalyptic number.

2364790206720 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 2364790206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968608815360).

2364790206720 is an abundant number, since it is smaller than the sum of its proper divisors (5572427424000).

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

2364790206720 is a wasteful number, since it uses less digits than its factorization.

2364790206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 2364790206720 in words is "two trillion, three hundred sixty-four billion, seven hundred ninety million, two hundred six thousand, seven hundred twenty".