63542949120 has 864 divisors, whose sum is σ = 265079001600. Its totient is φ = 14371209216.

The previous prime is 63542949109. The next prime is 63542949131. The reversal of 63542949120 is 2194924536.

63542949120 is a `hidden beast` number, since 6 + 3 + 542 + 94 + 9 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63542949109) and next prime (63542949131).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265869961 + ... + 265870199.

It is an arithmetic number, because the mean of its divisors is an integer number (306804400).

Almost surely, 2^63542949120 is an apocalyptic number.

63542949120 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 63542949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132539500800).

63542949120 is an abundant number, since it is smaller than the sum of its proper divisors (201536052480).

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

63542949120 is a wasteful number, since it uses less digits than its factorization.

63542949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 63542949120 in words is "sixty-three billion, five hundred forty-two million, nine hundred forty-nine thousand, one hundred twenty".