6474390289920 has 1920 divisors, whose sum is σ = 28562421888000. Its totient is φ = 1401095356416.

The previous prime is 6474390289891. The next prime is 6474390289973. The reversal of 6474390289920 is 299820934746.

6474390289920 is a `hidden beast` number, since 6 + 474 + 39 + 0 + 28 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4054094562 + ... + 4054096158.

It is an arithmetic number, because the mean of its divisors is an integer number (14876261400).

Almost surely, 2^{6474390289920} is an apocalyptic number.

6474390289920 is a gapful number since it is divisible by the number (60) 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 6474390289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281210944000).

6474390289920 is an abundant number, since it is smaller than the sum of its proper divisors (22088031598080).

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

6474390289920 is an equidigital number, since it uses as much as digits as its factorization.

6474390289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 6474390289920 in words is "six trillion, four hundred seventy-four billion, three hundred ninety million, two hundred eighty-nine thousand, nine hundred twenty".