62387666864640 has 800 divisors, whose sum is σ = 240745313095056. Its totient is φ = 15350346547200.

The previous prime is 62387666864561. The next prime is 62387666864669. The reversal of 62387666864640 is 4646866678326.

62387666864640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5956801710336 + 56430865154304 = 2440656^2 + 7512048^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9901229490 + ... + 9901235790.

Almost surely, 2^{62387666864640} is an apocalyptic number.

62387666864640 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 62387666864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120372656547528).

62387666864640 is an abundant number, since it is smaller than the sum of its proper divisors (178357646230416).

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

62387666864640 is a wasteful number, since it uses less digits than its factorization.

62387666864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022 (or 9997 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 72.

The spelling of 62387666864640 in words is "sixty-two trillion, three hundred eighty-seven billion, six hundred sixty-six million, eight hundred sixty-four thousand, six hundred forty".