4509250447680 has 896 divisors, whose sum is σ = 17574949416960. Its totient is φ = 1079288340480.

The previous prime is 4509250447673. The next prime is 4509250447697. The reversal of 4509250447680 is 867440529054.

4509250447680 is a `hidden beast` number, since 4 + 5 + 0 + 92 + 5 + 0 + 4 + 476 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5452539427 + ... + 5452540253.

Almost surely, 2^{4509250447680} is an apocalyptic number.

4509250447680 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 4509250447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787474708480).

4509250447680 is an abundant number, since it is smaller than the sum of its proper divisors (13065698969280).

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

4509250447680 is a wasteful number, since it uses less digits than its factorization.

4509250447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4509250447680 in words is "four trillion, five hundred nine billion, two hundred fifty million, four hundred forty-seven thousand, six hundred eighty".