62740339974400 has 243 divisors, whose sum is σ = 170711984351559. Its totient is φ = 22812134400000.

The previous prime is 62740339974371. The next prime is 62740339974407. The reversal of 62740339974400 is 447993304726.

The square root of 62740339974400 is 7920880.

It is a perfect power (a square), and thus also a powerful number.

62740339974400 is digitally balanced in base 2, 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 4 ways, for example, as 13978386157824 + 48761953816576 = 3738768^2 + 6982976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (62740339974407) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6970369900 + ... + 6970378900.

Almost surely, 2^{62740339974400} is an apocalyptic number.

62740339974400 is the 7920880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62740339974400

62740339974400 is an abundant number, since it is smaller than the sum of its proper divisors (107971644377159).

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

62740339974400 is an frugal number, since it uses more digits than its factorization.

62740339974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18050 (or 9019 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 58.

The spelling of 62740339974400 in words is "sixty-two trillion, seven hundred forty billion, three hundred thirty-nine million, nine hundred seventy-four thousand, four hundred".