546990627456 has 1024 divisors, whose sum is σ = 2072770560000. Its totient is φ = 138164797440.

The previous prime is 546990627451. The next prime is 546990627499. The reversal of 546990627456 is 654726099645.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 546990627393 and 546990627402.

It is not an unprimeable number, because it can be changed into a prime (546990627451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 760765465 + ... + 760766183.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190000).

Almost surely, 2^546990627456 is an apocalyptic number.

546990627456 is a gapful number since it is divisible by the number (56) 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 546990627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036385280000).

546990627456 is an abundant number, since it is smaller than the sum of its proper divisors (1525779932544).

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

546990627456 is a wasteful number, since it uses less digits than its factorization.

546990627456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 546990627456 in words is "five hundred forty-six billion, nine hundred ninety million, six hundred twenty-seven thousand, four hundred fifty-six".