7466489705220 has 1536 divisors, whose sum is σ = 28993860403200. Its totient is φ = 1391617843200.

The previous prime is 7466489705219. The next prime is 7466489705249. The reversal of 7466489705220 is 225079846647.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 15587660941 + ... + 15587661419.

It is an arithmetic number, because the mean of its divisors is an integer number (18876211200).

Almost surely, 2^{7466489705220} is an apocalyptic number.

7466489705220 is a gapful number since it is divisible by the number (70) 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 7466489705220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496930201600).

7466489705220 is an abundant number, since it is smaller than the sum of its proper divisors (21527370697980).

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

7466489705220 is a wasteful number, since it uses less digits than its factorization.

7466489705220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 7466489705220 in words is "seven trillion, four hundred sixty-six billion, four hundred eighty-nine million, seven hundred five thousand, two hundred twenty".