491479407336960 has 1600 divisors, whose sum is σ = 2110496268165120. Its totient is φ = 106936102748160.

The previous prime is 491479407336923. The next prime is 491479407337007. The reversal of 491479407336960 is 69633704974194.

491479407336960 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 79 + 407 + 33 + 69 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2988597457 + ... + 2988761903.

Almost surely, 2^{491479407336960} is an apocalyptic number.

491479407336960 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 491479407336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055248134082560).

491479407336960 is an abundant number, since it is smaller than the sum of its proper divisors (1619016860828160).

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

491479407336960 is a wasteful number, since it uses less digits than its factorization.

491479407336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164589 (or 164564 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 491479407336960 in words is "four hundred ninety-one trillion, four hundred seventy-nine billion, four hundred seven million, three hundred thirty-six thousand, nine hundred sixty".