63420153552 has 480 divisors, whose sum is σ = 217607322240. Its totient is φ = 17627258880.

The previous prime is 63420153541. The next prime is 63420153557. The reversal of 63420153552 is 25535102436.

63420153552 is a `hidden beast` number, since 6 + 34 + 20 + 1 + 53 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63420153557) by changing a digit.

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, 137570602 + ... + 137571062.

It is an arithmetic number, because the mean of its divisors is an integer number (453348588).

Almost surely, 2^63420153552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63420153552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108803661120).

63420153552 is an abundant number, since it is smaller than the sum of its proper divisors (154187168688).

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

63420153552 is a wasteful number, since it uses less digits than its factorization.

63420153552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 63420153552 its reverse (25535102436), we get a palindrome (88955255988).

The spelling of 63420153552 in words is "sixty-three billion, four hundred twenty million, one hundred fifty-three thousand, five hundred fifty-two".