6453457920000 has 3920 divisors, whose sum is σ = 31326555543360. Its totient is φ = 1289945088000.

The previous prime is 6453457919969. The next prime is 6453457920053. The reversal of 6453457920000 is 297543546.

6453457920000 is a `hidden beast` number, since 6 + 4 + 53 + 4 + 579 + 20 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 339655679991 + ... + 339655680009.

Almost surely, 2^{6453457920000} is an apocalyptic number.

6453457920000 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 6453457920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663277771680).

6453457920000 is an abundant number, since it is smaller than the sum of its proper divisors (24873097623360).

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

6453457920000 is an frugal number, since it uses more digits than its factorization.

6453457920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 6453457920000 in words is "six trillion, four hundred fifty-three billion, four hundred fifty-seven million, nine hundred twenty thousand".