4537481457600 has 3528 divisors, whose sum is σ = 21757231698048. Its totient is φ = 921773260800.

The previous prime is 4537481457571. The next prime is 4537481457601. The reversal of 4537481457600 is 67541847354.

4537481457600 is a `hidden beast` number, since 4 + 53 + 7 + 4 + 8 + 14 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4537481457601) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 23032900702 + ... + 23032900898.

Almost surely, 2^{4537481457600} is an apocalyptic number.

4537481457600 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 4537481457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878615849024).

4537481457600 is an abundant number, since it is smaller than the sum of its proper divisors (17219750240448).

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

4537481457600 is a wasteful number, since it uses less digits than its factorization.

4537481457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 4537481457600 in words is "four trillion, five hundred thirty-seven billion, four hundred eighty-one million, four hundred fifty-seven thousand, six hundred".