427219737600 has 1056 divisors, whose sum is σ = 1602698420736. Its totient is φ = 99772006400.

The previous prime is 427219737557. The next prime is 427219737667. The reversal of 427219737600 is 6737912724.

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 427219737600.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1231180627 + ... + 1231180973.

Almost surely, 2^427219737600 is an apocalyptic number.

427219737600 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 427219737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801349210368).

427219737600 is an abundant number, since it is smaller than the sum of its proper divisors (1175478683136).

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

427219737600 is a wasteful number, since it uses less digits than its factorization.

427219737600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 427219737600 in words is "four hundred twenty-seven billion, two hundred nineteen million, seven hundred thirty-seven thousand, six hundred".