6420924276480 has 720 divisors, whose sum is σ = 26434088049600. Its totient is φ = 1457765351424.

The previous prime is 6420924276479. The next prime is 6420924276511. The reversal of 6420924276480 is 846724290246.

It is a happy number.

6420924276480 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 92 + 4 + 2 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6420924276480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 108108552 + ... + 108167928.

It is an arithmetic number, because the mean of its divisors is an integer number (36714011180).

Almost surely, 2^{6420924276480} is an apocalyptic number.

6420924276480 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 6420924276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217044024800).

6420924276480 is an abundant number, since it is smaller than the sum of its proper divisors (20013163773120).

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

6420924276480 is a wasteful number, since it uses less digits than its factorization.

6420924276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59566 (or 59543 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 6420924276480 in words is "six trillion, four hundred twenty billion, nine hundred twenty-four million, two hundred seventy-six thousand, four hundred eighty".