736864972800 has 1248 divisors, whose sum is σ = 2864326385664. Its totient is φ = 165150720000.

The previous prime is 736864972763. The next prime is 736864972847. The reversal of 736864972800 is 8279468637.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5802086337 + ... + 5802086463.

Almost surely, 2^736864972800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 736864972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432163192832).

736864972800 is an abundant number, since it is smaller than the sum of its proper divisors (2127461412864).

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

736864972800 is a wasteful number, since it uses less digits than its factorization.

736864972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 736864972800 in words is "seven hundred thirty-six billion, eight hundred sixty-four million, nine hundred seventy-two thousand, eight hundred".