9977933445480 has 1920 divisors, whose sum is σ = 44672930265600. Its totient is φ = 1880453836800.

The previous prime is 9977933445437. The next prime is 9977933445499. The reversal of 9977933445480 is 845443397799.

It is a happy number.

9977933445480 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 9 + 33 + 44 + 548 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9977933445399 and 9977933445408.

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, 34054380214 + ... + 34054380506.

It is an arithmetic number, because the mean of its divisors is an integer number (23267151180).

Almost surely, 2^{9977933445480} is an apocalyptic number.

9977933445480 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 9977933445480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22336465132800).

9977933445480 is an abundant number, since it is smaller than the sum of its proper divisors (34694996820120).

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

9977933445480 is a wasteful number, since it uses less digits than its factorization.

9977933445480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 9977933445480 in words is "nine trillion, nine hundred seventy-seven billion, nine hundred thirty-three million, four hundred forty-five thousand, four hundred eighty".