62742412476306 has 192 divisors, whose sum is σ = 147507436137600. Its totient is φ = 19743417187200.

The previous prime is 62742412476277. The next prime is 62742412476383. The reversal of 62742412476306 is 60367421424726.

62742412476306 is a `hidden beast` number, since 6 + 2 + 7 + 4 + 241 + 24 + 76 + 306 = 666.

62742412476306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×62742412476306² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1958909100 + ... + 1958941128.

It is an arithmetic number, because the mean of its divisors is an integer number (768267896550).

Almost surely, 2^{62742412476306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62742412476306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73753718068800).

62742412476306 is an abundant number, since it is smaller than the sum of its proper divisors (84765023661294).

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

62742412476306 is a wasteful number, since it uses less digits than its factorization.

62742412476306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32422 (or 32265 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 62742412476306 in words is "sixty-two trillion, seven hundred forty-two billion, four hundred twelve million, four hundred seventy-six thousand, three hundred six".