9977413723200 has 3360 divisors, whose sum is σ = 48969299478528. Its totient is φ = 1928945664000.

The previous prime is 9977413723163. The next prime is 9977413723223. The reversal of 9977413723200 is 23273147799.

9977413723200 is a `hidden beast` number, since 99 + 77 + 413 + 72 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 479 ways as a sum of consecutive naturals, for example, 17473578915 + ... + 17473579485.

Almost surely, 2^{9977413723200} is an apocalyptic number.

9977413723200 is a gapful number since it is divisible by the number (90) 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 9977413723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24484649739264).

9977413723200 is an abundant number, since it is smaller than the sum of its proper divisors (38991885755328).

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

9977413723200 is a wasteful number, since it uses less digits than its factorization.

9977413723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 9977413723200 in words is "nine trillion, nine hundred seventy-seven billion, four hundred thirteen million, seven hundred twenty-three thousand, two hundred".