9977917824 has 192 divisors, whose sum is σ = 34257250800. Its totient is φ = 2850785280.

The previous prime is 9977917823. The next prime is 9977917841. The reversal of 9977917824 is 4287197799.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9977917823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139884 + ... + 198804.

Almost surely, 2^9977917824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9977917824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128625400).

9977917824 is an abundant number, since it is smaller than the sum of its proper divisors (24279332976).

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

9977917824 is a wasteful number, since it uses less digits than its factorization.

9977917824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58958 (or 58933 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 63.

The square root of 9977917824 is about 99889.5280997963. The cubic root of 9977917824 is about 2152.8477011189.

The spelling of 9977917824 in words is "nine billion, nine hundred seventy-seven million, nine hundred seventeen thousand, eight hundred twenty-four".