481726206720 has 2160 divisors, whose sum is σ = 2084169669120. Its totient is φ = 105763553280.

The previous prime is 481726206613. The next prime is 481726206737. The reversal of 481726206720 is 27602627184.

It is a happy number.

481726206720 is a `hidden beast` number, since 4 + 8 + 17 + 2 + 620 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10249493737 + ... + 10249493783.

Almost surely, 2^481726206720 is an apocalyptic number.

481726206720 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 481726206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042084834560).

481726206720 is an abundant number, since it is smaller than the sum of its proper divisors (1602443462400).

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

481726206720 is a wasteful number, since it uses less digits than its factorization.

481726206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 481726206720 in words is "four hundred eighty-one billion, seven hundred twenty-six million, two hundred six thousand, seven hundred twenty".