405606727680 has 768 divisors, whose sum is σ = 1648160161920. Its totient is φ = 84226867200.

The previous prime is 405606727663. The next prime is 405606727693. The reversal of 405606727680 is 86727606504.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264928515 + ... + 264930045.

Almost surely, 2^405606727680 is an apocalyptic number.

405606727680 is a gapful number since it is divisible by the number (40) 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 405606727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824080080960).

405606727680 is an abundant number, since it is smaller than the sum of its proper divisors (1242553434240).

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

405606727680 is a wasteful number, since it uses less digits than its factorization.

405606727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 405606727680 in words is "four hundred five billion, six hundred six million, seven hundred twenty-seven thousand, six hundred eighty".