4545192960 has 1056 divisors, whose sum is σ = 20834202240. Its totient is φ = 928972800.

The previous prime is 4545192959. The next prime is 4545192983. The reversal of 4545192960 is 692915454.

4545192960 is a `hidden beast` number, since 4 + 54 + 519 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74511330 + ... + 74511390.

Almost surely, 2^4545192960 is an apocalyptic number.

4545192960 is a gapful number since it is divisible by the number (40) 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 4545192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417101120).

4545192960 is an abundant number, since it is smaller than the sum of its proper divisors (16289009280).

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

4545192960 is a wasteful number, since it uses less digits than its factorization.

4545192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4545192960 is about 67418.0462487604. The cubic root of 4545192960 is about 1656.4720351480.

The spelling of 4545192960 in words is "four billion, five hundred forty-five million, one hundred ninety-two thousand, nine hundred sixty".