62749054080 has 512 divisors, whose sum is σ = 227393740800. Its totient is φ = 16554295296.

The previous prime is 62749054073. The next prime is 62749054087. The reversal of 62749054080 is 8045094726.

It is a happy number.

62749054080 is a `hidden beast` number, since 6 + 27 + 4 + 9 + 0 + 540 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (62749054073) and next prime (62749054087).

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 (62749054087) 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 63 ways as a sum of consecutive naturals, for example, 177759184 + ... + 177759536.

It is an arithmetic number, because the mean of its divisors is an integer number (444128400).

Almost surely, 2^62749054080 is an apocalyptic number.

62749054080 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 62749054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113696870400).

62749054080 is an abundant number, since it is smaller than the sum of its proper divisors (164644686720).

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

62749054080 is an equidigital number, since it uses as much as digits as its factorization.

62749054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 62749054080 in words is "sixty-two billion, seven hundred forty-nine million, fifty-four thousand, eighty".