9906778275840 has 572 divisors, whose sum is σ = 35664199934994. Its totient is φ = 2641807540224.

The previous prime is 9906778275827. The next prime is 9906778275887. The reversal of 9906778275840 is 485728776099.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)⁶ ⋅ (3!)² ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 8916100448256 + 990677827584 = 2985984^2 + 995328^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=5, B=288.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 1981355655166 + ... + 1981355655170.

Almost surely, 2^{9906778275840} is an apocalyptic number.

9906778275840 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 9906778275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17832099967497).

9906778275840 is an abundant number, since it is smaller than the sum of its proper divisors (25757421659154).

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

9906778275840 is an frugal number, since it uses more digits than its factorization.

9906778275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 9906778275840 in words is "nine trillion, nine hundred six billion, seven hundred seventy-eight million, two hundred seventy-five thousand, eight hundred forty".