62493949440 has 800 divisors, whose sum is σ = 244555597440. Its totient is φ = 15160836096.

The previous prime is 62493949433. The next prime is 62493949481. The reversal of 62493949440 is 4494939426.

It is a happy number.

62493949440 is a `hidden beast` number, since 6 + 24 + 93 + 9 + 494 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 261480841 + ... + 261481079.

Almost surely, 2^62493949440 is an apocalyptic number.

62493949440 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 62493949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122277798720).

62493949440 is an abundant number, since it is smaller than the sum of its proper divisors (182061648000).

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

62493949440 is a wasteful number, since it uses less digits than its factorization.

62493949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 62493949440 in words is "sixty-two billion, four hundred ninety-three million, nine hundred forty-nine thousand, four hundred forty".