9977754240 has 768 divisors, whose sum is σ = 39869107200. Its totient is φ = 2282618880.

The previous prime is 9977754229. The next prime is 9977754287. The reversal of 9977754240 is 424577799.

9977754240 is a `hidden beast` number, since 9 + 97 + 7 + 7 + 542 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57674794 + ... + 57674966.

It is an arithmetic number, because the mean of its divisors is an integer number (51912900).

Almost surely, 2^9977754240 is an apocalyptic number.

9977754240 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 9977754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19934553600).

9977754240 is an abundant number, since it is smaller than the sum of its proper divisors (29891352960).

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

9977754240 is a wasteful number, since it uses less digits than its factorization.

9977754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 9977754240 is about 99888.7092718692. The cubic root of 9977754240 is about 2152.8359360269.

The spelling of 9977754240 in words is "nine billion, nine hundred seventy-seven million, seven hundred fifty-four thousand, two hundred forty".