62123604480 has 800 divisors, whose sum is σ = 257056690176. Its totient is φ = 14046068736.

The previous prime is 62123604461. The next prime is 62123604481. The reversal of 62123604480 is 8440632126.

62123604480 is a `hidden beast` number, since 6 + 2 + 1 + 2 + 3 + 604 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (62123604481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 184342872 + ... + 184343208.

Almost surely, 2^62123604480 is an apocalyptic number.

62123604480 is a gapful number since it is divisible by the number (60) 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 62123604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128528345088).

62123604480 is an abundant number, since it is smaller than the sum of its proper divisors (194933085696).

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

62123604480 is a wasteful number, since it uses less digits than its factorization.

62123604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 62123604480 in words is "sixty-two billion, one hundred twenty-three million, six hundred four thousand, four hundred eighty".