9880741877760 has 1536 divisors, whose sum is σ = 39626496000000. Its totient is φ = 2318716108800.

The previous prime is 9880741877731. The next prime is 9880741877789. The reversal of 9880741877760 is 677781470889.

9880741877760 is a `hidden beast` number, since 9 + 8 + 80 + 7 + 418 + 7 + 77 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (9880741877731) and next prime (9880741877789).

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7910921616 + ... + 7910922864.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500000).

Almost surely, 2^{9880741877760} is an apocalyptic number.

9880741877760 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 9880741877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248000000).

9880741877760 is an abundant number, since it is smaller than the sum of its proper divisors (29745754122240).

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

9880741877760 is a wasteful number, since it uses less digits than its factorization.

9880741877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 265531392, while the sum is 72.

The spelling of 9880741877760 in words is "nine trillion, eight hundred eighty billion, seven hundred forty-one million, eight hundred seventy-seven thousand, seven hundred sixty".