427548009504 has 1152 divisors, whose sum is σ = 1600016302080. Its totient is φ = 97223639040.

The previous prime is 427548009481. The next prime is 427548009517. The reversal of 427548009504 is 405900845724.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1917255537 + ... + 1917255759.

It is an arithmetic number, because the mean of its divisors is an integer number (1388903040).

Almost surely, 2^427548009504 is an apocalyptic number.

427548009504 is a gapful number since it is divisible by the number (44) 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 427548009504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800008151040).

427548009504 is an abundant number, since it is smaller than the sum of its proper divisors (1172468292576).

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

427548009504 is a wasteful number, since it uses less digits than its factorization.

427548009504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 427548009504 in words is "four hundred twenty-seven billion, five hundred forty-eight million, nine thousand, five hundred four".