45675273600 has 1152 divisors, whose sum is σ = 195301562400. Its totient is φ = 10380902400.

The previous prime is 45675273577. The next prime is 45675273629. The reversal of 45675273600 is 637257654.

45675273600 is a `hidden beast` number, since 4 + 5 + 67 + 527 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 177724672 + ... + 177724928.

Almost surely, 2^45675273600 is an apocalyptic number.

45675273600 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 45675273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97650781200).

45675273600 is an abundant number, since it is smaller than the sum of its proper divisors (149626288800).

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

45675273600 is a wasteful number, since it uses less digits than its factorization.

45675273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 45675273600 in words is "forty-five billion, six hundred seventy-five million, two hundred seventy-three thousand, six hundred".