9145876480 has 272 divisors, whose sum is σ = 25102717920. Its totient is φ = 3170893824.

The previous prime is 9145876447. The next prime is 9145876483. The reversal of 9145876480 is 846785419.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9145876483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80936904 + ... + 80937016.

Almost surely, 2^9145876480 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 9145876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551358960).

9145876480 is an abundant number, since it is smaller than the sum of its proper divisors (15956841440).

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

9145876480 is a wasteful number, since it uses less digits than its factorization.

9145876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The square root of 9145876480 is about 95634.0759353067. The cubic root of 9145876480 is about 2091.2619897495.

The spelling of 9145876480 in words is "nine billion, one hundred forty-five million, eight hundred seventy-six thousand, four hundred eighty".