4545876787200 has 612 divisors, whose sum is σ = 18610955837968. Its totient is φ = 1039033958400.

The previous prime is 4545876787189. The next prime is 4545876787201. The reversal of 4545876787200 is 27876785454.

It is a happy number.

4545876787200 is a `hidden beast` number, since 4 + 545 + 8 + 7 + 6 + 7 + 87 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4545876787201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103197180 + ... + 103241220.

Almost surely, 2^{4545876787200} is an apocalyptic number.

4545876787200 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 4545876787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9305477918984).

4545876787200 is an abundant number, since it is smaller than the sum of its proper divisors (14065079050768).

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

4545876787200 is an equidigital number, since it uses as much as digits as its factorization.

4545876787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44096 (or 44058 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 4545876787200 in words is "four trillion, five hundred forty-five billion, eight hundred seventy-six million, seven hundred eighty-seven thousand, two hundred".