479893771026432 has 1152 divisors, whose sum is σ = 1770574047465600. Its totient is φ = 122251886198784.

The previous prime is 479893771026419. The next prime is 479893771026443. The reversal of 479893771026432 is 234620177398974.

479893771026432 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 93 + 77 + 10 + 26 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 71 ways as a sum of consecutive naturals, for example, 12669105669 + ... + 12669143547.

It is an arithmetic number, because the mean of its divisors is an integer number (1536956638425).

Almost surely, 2^{479893771026432} is an apocalyptic number.

479893771026432 is a gapful number since it is divisible by the number (42) 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 479893771026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885287023732800).

479893771026432 is an abundant number, since it is smaller than the sum of its proper divisors (1290680276439168).

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

479893771026432 is a wasteful number, since it uses less digits than its factorization.

479893771026432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37977 (or 37927 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 479893771026432 in words is "four hundred seventy-nine trillion, eight hundred ninety-three billion, seven hundred seventy-one million, twenty-six thousand, four hundred thirty-two".