927006420480 has 320 divisors, whose sum is σ = 3586116188160. Its totient is φ = 199423033344.

The previous prime is 927006420469. The next prime is 927006420481. The reversal of 927006420480 is 84024600729.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×927006420480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (927006420481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406761 + ... + 1421079.

It is an arithmetic number, because the mean of its divisors is an integer number (11206613088).

Almost surely, 2^927006420480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 927006420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793058094080).

927006420480 is an abundant number, since it is smaller than the sum of its proper divisors (2659109767680).

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

927006420480 is a wasteful number, since it uses less digits than its factorization.

927006420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014369 (or 1014353 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 927006420480 in words is "nine hundred twenty-seven billion, six million, four hundred twenty thousand, four hundred eighty".