2001476542464 has 560 divisors, whose sum is σ = 7193526278400. Its totient is φ = 541729161216.

The previous prime is 2001476542441. The next prime is 2001476542493. The reversal of 2001476542464 is 4642456741002.

It is a happy number.

2001476542464 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 47 + 6 + 542 + 4 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88241077 + ... + 88263755.

It is an arithmetic number, because the mean of its divisors is an integer number (12845582640).

Almost surely, 2^{2001476542464} is an apocalyptic number.

2001476542464 is a gapful number since it is divisible by the number (24) 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 2001476542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596763139200).

2001476542464 is an abundant number, since it is smaller than the sum of its proper divisors (5192049735936).

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

2001476542464 is an equidigital number, since it uses as much as digits as its factorization.

2001476542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22743 (or 22710 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2001476542464 in words is "two trillion, one billion, four hundred seventy-six million, five hundred forty-two thousand, four hundred sixty-four".