9496771970400 has 2880 divisors, whose sum is σ = 42267782563776. Its totient is φ = 2044403712000.

The previous prime is 9496771970311. The next prime is 9496771970561. The reversal of 9496771970400 is 40791776949.

9496771970400 is a `hidden beast` number, since 9 + 4 + 96 + 7 + 71 + 9 + 70 + 400 = 666.

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 29958271042 + ... + 29958271358.

Almost surely, 2^{9496771970400} is an apocalyptic number.

9496771970400 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 9496771970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21133891281888).

9496771970400 is an abundant number, since it is smaller than the sum of its proper divisors (32771010593376).

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

9496771970400 is a wasteful number, since it uses less digits than its factorization.

9496771970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 9496771970400 in words is "nine trillion, four hundred ninety-six billion, seven hundred seventy-one million, nine hundred seventy thousand, four hundred".