6473125290240 has 1728 divisors, whose sum is σ = 27734645514240. Its totient is φ = 1442230272000.

The previous prime is 6473125290197. The next prime is 6473125290311. The reversal of 6473125290240 is 420925213746.

6473125290240 is a `hidden beast` number, since 6 + 4 + 7 + 312 + 5 + 2 + 90 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 5623913665 + ... + 5623914815.

It is an arithmetic number, because the mean of its divisors is an integer number (16050142080).

Almost surely, 2^{6473125290240} is an apocalyptic number.

6473125290240 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 6473125290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13867322757120).

6473125290240 is an abundant number, since it is smaller than the sum of its proper divisors (21261520224000).

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

6473125290240 is an equidigital number, since it uses as much as digits as its factorization.

6473125290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6473125290240 in words is "six trillion, four hundred seventy-three billion, one hundred twenty-five million, two hundred ninety thousand, two hundred forty".