6472168920000 has 2520 divisors, whose sum is σ = 28448850253824. Its totient is φ = 1453987584000.

The previous prime is 6472168919999. The next prime is 6472168920023. The reversal of 6472168920000 is 298612746.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-3 number, since 3×6472168920000³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 50961959937 + ... + 50961960063.

Almost surely, 2^{6472168920000} is an apocalyptic number.

6472168920000 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 6472168920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224425126912).

6472168920000 is an abundant number, since it is smaller than the sum of its proper divisors (21976681333824).

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

6472168920000 is a wasteful number, since it uses less digits than its factorization.

6472168920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6472168920000 in words is "six trillion, four hundred seventy-two billion, one hundred sixty-eight million, nine hundred twenty thousand".