62406086112 has 576 divisors, whose sum is σ = 202527037440. Its totient is φ = 18139852800.

The previous prime is 62406085999. The next prime is 62406086117. The reversal of 62406086112 is 21168060426.

62406086112 is a `hidden beast` number, since 6 + 2 + 40 + 608 + 6 + 1 + 1 + 2 = 666.

62406086112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62406086117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382859343 + ... + 382859505.

It is an arithmetic number, because the mean of its divisors is an integer number (351609440).

Almost surely, 2^62406086112 is an apocalyptic number.

62406086112 is a gapful number since it is divisible by the number (62) 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 62406086112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101263518720).

62406086112 is an abundant number, since it is smaller than the sum of its proper divisors (140120951328).

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

62406086112 is a wasteful number, since it uses less digits than its factorization.

62406086112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 62406086112 in words is "sixty-two billion, four hundred six million, eighty-six thousand, one hundred twelve".