6546233453760 has 2688 divisors, whose sum is σ = 32212889339904. Its totient is φ = 1221148016640.

The previous prime is 6546233453731. The next prime is 6546233453783. The reversal of 6546233453760 is 673543326456.

6546233453760 is a `hidden beast` number, since 6 + 5 + 4 + 623 + 3 + 4 + 5 + 3 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×6546233453760² (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 junction number, because it is equal to n+sod(n) for n = 6546233453697 and 6546233453706.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2879995984 + ... + 2879998256.

It is an arithmetic number, because the mean of its divisors is an integer number (11983961808).

Almost surely, 2^{6546233453760} is an apocalyptic number.

6546233453760 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 6546233453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16106444669952).

6546233453760 is an abundant number, since it is smaller than the sum of its proper divisors (25666655886144).

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

6546233453760 is a wasteful number, since it uses less digits than its factorization.

6546233453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 54.

The spelling of 6546233453760 in words is "six trillion, five hundred forty-six billion, two hundred thirty-three million, four hundred fifty-three thousand, seven hundred sixty".