9756482400 has 720 divisors, whose sum is σ = 41220549216. Its totient is φ = 2199674880.

The previous prime is 9756482389. The next prime is 9756482443. The reversal of 9756482400 is 42846579.

It is a happy number.

9756482400 is a `hidden beast` number, since 9 + 7 + 564 + 82 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62143122 + ... + 62143278.

Almost surely, 2^9756482400 is an apocalyptic number.

9756482400 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 9756482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610274608).

9756482400 is an abundant number, since it is smaller than the sum of its proper divisors (31464066816).

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

9756482400 is a wasteful number, since it uses less digits than its factorization.

9756482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9756482400 is about 98774.9077448316. The cubic root of 9756482400 is about 2136.8026903646.

The spelling of 9756482400 in words is "nine billion, seven hundred fifty-six million, four hundred eighty-two thousand, four hundred".