62540006400 has 297 divisors, whose sum is σ = 224353429183. Its totient is φ = 16645324800.

The previous prime is 62540006393. The next prime is 62540006407. The reversal of 62540006400 is 460004526.

It is a happy number.

The square root of 62540006400 is 250080.

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

62540006400 is a `hidden beast` number, since 6 + 254 + 0 + 0 + 0 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (62540006393) and next prime (62540006407).

It can be written as a sum of positive squares in 4 ways, for example, as 7851377664 + 54688628736 = 88608^2 + 233856^2 .

It is a super-2 number, since 2×62540006400² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (62540006407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120038140 + ... + 120038660.

Almost surely, 2^62540006400 is an apocalyptic number.

62540006400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

62540006400 is the 250080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62540006400

62540006400 is an abundant number, since it is smaller than the sum of its proper divisors (161813422783).

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

62540006400 is an equidigital number, since it uses as much as digits as its factorization.

62540006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 62540006400 in words is "sixty-two billion, five hundred forty million, six thousand, four hundred".