123727380480 has 432 divisors, whose sum is σ = 468158037984. Its totient is φ = 29978787840.

The previous prime is 123727380449. The next prime is 123727380533. The reversal of 123727380480 is 84083727321.

123727380480 is a `hidden beast` number, since 1 + 23 + 7 + 2 + 73 + 80 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64879687 + ... + 64881593.

It is an arithmetic number, because the mean of its divisors is an integer number (1083699162).

Almost surely, 2^123727380480 is an apocalyptic number.

123727380480 is a gapful number since it is divisible by the number (10) 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 123727380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234079018992).

123727380480 is an abundant number, since it is smaller than the sum of its proper divisors (344430657504).

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

123727380480 is an equidigital number, since it uses as much as digits as its factorization.

123727380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1928 counting only the distinct ones).

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

The spelling of 123727380480 in words is "one hundred twenty-three billion, seven hundred twenty-seven million, three hundred eighty thousand, four hundred eighty".