62625675242880 has 384 divisors, whose sum is σ = 229479162232320. Its totient is φ = 16311802042368.

The previous prime is 62625675242821. The next prime is 62625675242887. The reversal of 62625675242880 is 8824257652626.

It is a happy number.

62625675242880 is a `hidden beast` number, since 6 + 2 + 6 + 2 + 5 + 6 + 7 + 524 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×62625675242880³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62625675242887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2004969 + ... + 11369751.

It is an arithmetic number, because the mean of its divisors is an integer number (597601984980).

Almost surely, 2^{62625675242880} is an apocalyptic number.

62625675242880 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 62625675242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114739581116160).

62625675242880 is an abundant number, since it is smaller than the sum of its proper divisors (166853486989440).

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

62625675242880 is an equidigital number, since it uses as much as digits as its factorization.

62625675242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9364860 (or 9364836 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 62625675242880 in words is "sixty-two trillion, six hundred twenty-five billion, six hundred seventy-five million, two hundred forty-two thousand, eight hundred eighty".