63742503552 has 768 divisors, whose sum is σ = 228421509120. Its totient is φ = 15318097920.

The previous prime is 63742503497. The next prime is 63742503557. The reversal of 63742503552 is 25530524736.

63742503552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63742503557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391058223 + ... + 391058385.

It is an arithmetic number, because the mean of its divisors is an integer number (297423840).

Almost surely, 2^63742503552 is an apocalyptic number.

63742503552 is a gapful number since it is divisible by the number (62) 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 63742503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114210754560).

63742503552 is an abundant number, since it is smaller than the sum of its proper divisors (164679005568).

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

63742503552 is a wasteful number, since it uses less digits than its factorization.

63742503552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

The spelling of 63742503552 in words is "sixty-three billion, seven hundred forty-two million, five hundred three thousand, five hundred fifty-two".