9977748480 has 660 divisors, whose sum is σ = 41676805368. Its totient is φ = 2275983360.

The previous prime is 9977748461. The next prime is 9977748481. The reversal of 9977748480 is 848477799.

It is a happy number.

9977748480 is a `hidden beast` number, since 9 + 9 + 7 + 77 + 484 + 80 = 666.

It is a super-3 number, since 3×9977748480³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9977748481) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321035 + ... + 20321525.

Almost surely, 2^9977748480 is an apocalyptic number.

9977748480 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 9977748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20838402684).

9977748480 is an abundant number, since it is smaller than the sum of its proper divisors (31699056888).

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

9977748480 is a wasteful number, since it uses less digits than its factorization.

9977748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The square root of 9977748480 is about 99888.6804397776. The cubic root of 9977748480 is about 2152.8355217608.

It can be divided in two parts, 997 and 7748480, that added together give a palindrome (7749477).

The spelling of 9977748480 in words is "nine billion, nine hundred seventy-seven million, seven hundred forty-eight thousand, four hundred eighty".