62768668064 has 192 divisors, whose sum is σ = 139142126592. Its totient is φ = 27736473600.

The previous prime is 62768668051. The next prime is 62768668069. The reversal of 62768668064 is 46086686726.

It is a super-2 number, since 2×62768668064² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 62768667994 and 62768668012.

It is not an unprimeable number, because it can be changed into a prime (62768668069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82481444 + ... + 82482204.

It is an arithmetic number, because the mean of its divisors is an integer number (724698576).

Almost surely, 2^62768668064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62768668064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69571063296).

62768668064 is an abundant number, since it is smaller than the sum of its proper divisors (76373458528).

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

62768668064 is a wasteful number, since it uses less digits than its factorization.

62768668064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 59.

The spelling of 62768668064 in words is "sixty-two billion, seven hundred sixty-eight million, six hundred sixty-eight thousand, sixty-four".