433626480967680 has 5440 divisors, whose sum is σ = 2199737959372800. Its totient is φ = 78703849635840.

The previous prime is 433626480967679. The next prime is 433626480967709. The reversal of 433626480967680 is 86769084626334.

433626480967680 is a `hidden beast` number, since 4 + 3 + 3 + 6 + 2 + 6 + 480 + 9 + 67 + 6 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 433626480967599 and 433626480967608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 504803819091 + ... + 504803819949.

Almost surely, 2^{433626480967680} is an apocalyptic number.

433626480967680 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 433626480967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099868979686400).

433626480967680 is an abundant number, since it is smaller than the sum of its proper divisors (1766111478405120).

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

433626480967680 is a wasteful number, since it uses less digits than its factorization.

433626480967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 72.

The spelling of 433626480967680 in words is "four hundred thirty-three trillion, six hundred twenty-six billion, four hundred eighty million, nine hundred sixty-seven thousand, six hundred eighty".