9977360400 has 540 divisors, whose sum is σ = 40641028272. Its totient is φ = 2260016640.

The previous prime is 9977360357. The next prime is 9977360429. The reversal of 9977360400 is 40637799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28753027 + ... + 28753373.

Almost surely, 2^9977360400 is an apocalyptic number.

9977360400 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 9977360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320514136).

9977360400 is an abundant number, since it is smaller than the sum of its proper divisors (30663667872).

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

9977360400 is a wasteful number, since it uses less digits than its factorization.

9977360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 9977360400 is about 99886.7378584364. The cubic root of 9977360400 is about 2152.8076102119.

The spelling of 9977360400 in words is "nine billion, nine hundred seventy-seven million, three hundred sixty thousand, four hundred".