62490193920 has 1872 divisors, whose sum is σ = 298912262688. Its totient is φ = 11890851840.

The previous prime is 62490193907. The next prime is 62490193921. The reversal of 62490193920 is 2939109426.

It is a happy number.

62490193920 is a `hidden beast` number, since 6 + 249 + 0 + 19 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (62490193921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1688924142 + ... + 1688924178.

It is an arithmetic number, because the mean of its divisors is an integer number (159675354).

Almost surely, 2^62490193920 is an apocalyptic number.

62490193920 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 62490193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149456131344).

62490193920 is an abundant number, since it is smaller than the sum of its proper divisors (236422068768).

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

62490193920 is a wasteful number, since it uses less digits than its factorization.

62490193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 62490193920 in words is "sixty-two billion, four hundred ninety million, one hundred ninety-three thousand, nine hundred twenty".