427713488640 has 360 divisors, whose sum is σ = 1544518594080. Its totient is φ = 113007550464.

The previous prime is 427713488639. The next prime is 427713488687. The reversal of 427713488640 is 46884317724.

427713488640 is a `hidden beast` number, since 42 + 77 + 13 + 488 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11282197 + ... + 11320043.

It is an arithmetic number, because the mean of its divisors is an integer number (4290329428).

Almost surely, 2^427713488640 is an apocalyptic number.

427713488640 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 427713488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772259297040).

427713488640 is an abundant number, since it is smaller than the sum of its proper divisors (1116805105440).

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

427713488640 is a wasteful number, since it uses less digits than its factorization.

427713488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37989 (or 37966 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 427713488640 in words is "four hundred twenty-seven billion, seven hundred thirteen million, four hundred eighty-eight thousand, six hundred forty".