427553501793264 has 1920 divisors, whose sum is σ = 1688161390755840. Its totient is φ = 101381621760000.

The previous prime is 427553501793259. The next prime is 427553501793311. The reversal of 427553501793264 is 462397105355724.

427553501793264 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 5 + 350 + 17 + 9 + 3 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42496118794 + ... + 42496128854.

It is an arithmetic number, because the mean of its divisors is an integer number (879250724352).

Almost surely, 2^{427553501793264} is an apocalyptic number.

427553501793264 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 427553501793264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844080695377920).

427553501793264 is an abundant number, since it is smaller than the sum of its proper divisors (1260607888962576).

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

427553501793264 is a wasteful number, since it uses less digits than its factorization.

427553501793264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 427553501793264 in words is "four hundred twenty-seven trillion, five hundred fifty-three billion, five hundred one million, seven hundred ninety-three thousand, two hundred sixty-four".