62693987323968 has 1344 divisors, whose sum is σ = 248422319308800. Its totient is φ = 14590115020800.

The previous prime is 62693987323949. The next prime is 62693987323999. The reversal of 62693987323968 is 86932378939626.

It is a happy number.

62693987323968 is a `hidden beast` number, since 6 + 26 + 93 + 98 + 7 + 32 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4704276921 + ... + 4704290247.

It is an arithmetic number, because the mean of its divisors is an integer number (184838035200).

Almost surely, 2^{62693987323968} 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 62693987323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124211159654400).

62693987323968 is an abundant number, since it is smaller than the sum of its proper divisors (185728331984832).

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

62693987323968 is a wasteful number, since it uses less digits than its factorization.

62693987323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13616 (or 13603 counting only the distinct ones).

The product of its digits is 7618738176, while the sum is 81.

The spelling of 62693987323968 in words is "sixty-two trillion, six hundred ninety-three billion, nine hundred eighty-seven million, three hundred twenty-three thousand, nine hundred sixty-eight".