487967641534464 has 2048 divisors, whose sum is σ = 1761265124720640. Its totient is φ = 116530348032000.

The previous prime is 487967641534441. The next prime is 487967641534469. The reversal of 487967641534464 is 464435146769784.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×487967641534464² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 487967641534464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487967641534469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 464288906739 + ... + 464288907789.

It is an arithmetic number, because the mean of its divisors is an integer number (859992736680).

Almost surely, 2^{487967641534464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487967641534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880632562360320).

487967641534464 is an abundant number, since it is smaller than the sum of its proper divisors (1273297483186176).

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

487967641534464 is a wasteful number, since it uses less digits than its factorization.

487967641534464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1207 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 78.

The spelling of 487967641534464 in words is "four hundred eighty-seven trillion, nine hundred sixty-seven billion, six hundred forty-one million, five hundred thirty-four thousand, four hundred sixty-four".