4540716667200 has 672 divisors, whose sum is σ = 18180882063360. Its totient is φ = 969757286400.

The previous prime is 4540716667199. The next prime is 4540716667243. The reversal of 4540716667200 is 27666170454.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4540716667200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30131239 + ... + 30281561.

Almost surely, 2^{4540716667200} is an apocalyptic number.

4540716667200 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 4540716667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090441031680).

4540716667200 is an abundant number, since it is smaller than the sum of its proper divisors (13640165396160).

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

4540716667200 is a wasteful number, since it uses less digits than its factorization.

4540716667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150415 (or 150400 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 4540716667200 in words is "four trillion, five hundred forty billion, seven hundred sixteen million, six hundred sixty-seven thousand, two hundred".