62000004004000 has 216 divisors, whose sum is σ = 159274618110972. Its totient is φ = 23717358297600.

The previous prime is 62000004003961. The next prime is 62000004004007. The reversal of 62000004004000 is 40040000026.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 892201150096 + 61107802853904 = 944564^2 + 7817148^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (62000004004007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11453905294 + ... + 11453910706.

Almost surely, 2^{62000004004000} 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 62000004004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79637309055486).

62000004004000 is an abundant number, since it is smaller than the sum of its proper divisors (97274614106972).

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

62000004004000 is an frugal number, since it uses more digits than its factorization.

62000004004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10897 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 62000004004000 its reverse (40040000026), we get a palindrome (62040044004026).

The spelling of 62000004004000 in words is "sixty-two trillion, four million, four thousand", and thus it is an eban number.