9709396376400 has 1920 divisors, whose sum is σ = 42098257920000. Its totient is φ = 2078692761600.

The previous prime is 9709396376359. The next prime is 9709396376401. The reversal of 9709396376400 is 46736939079.

9709396376400 is a `hidden beast` number, since 9 + 70 + 9 + 3 + 96 + 3 + 76 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9709396376401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10565175141 + ... + 10565176059.

It is an arithmetic number, because the mean of its divisors is an integer number (21926176000).

Almost surely, 2^{9709396376400} is an apocalyptic number.

9709396376400 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 9709396376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21049128960000).

9709396376400 is an abundant number, since it is smaller than the sum of its proper divisors (32388861543600).

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

9709396376400 is a wasteful number, since it uses less digits than its factorization.

9709396376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 63.

The spelling of 9709396376400 in words is "nine trillion, seven hundred nine billion, three hundred ninety-six million, three hundred seventy-six thousand, four hundred".