621348900480 has 2304 divisors, whose sum is σ = 2879855596800. Its totient is φ = 125252075520.

The previous prime is 621348900467. The next prime is 621348900503. The reversal of 621348900480 is 84009843126.

It is a happy number.

621348900480 is a `hidden beast` number, since 62 + 1 + 34 + 89 + 0 + 0 + 480 = 666.

It is a super-2 number, since 2×621348900480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6981448276 + ... + 6981448364.

It is an arithmetic number, because the mean of its divisors is an integer number (1249937325).

Almost surely, 2^621348900480 is an apocalyptic number.

621348900480 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 621348900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439927798400).

621348900480 is an abundant number, since it is smaller than the sum of its proper divisors (2258506696320).

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

621348900480 is a wasteful number, since it uses less digits than its factorization.

621348900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 621348900480 in words is "six hundred twenty-one billion, three hundred forty-eight million, nine hundred thousand, four hundred eighty".