63751919616 has 1440 divisors, whose sum is σ = 260289469440. Its totient is φ = 15328051200.

The previous prime is 63751919603. The next prime is 63751919617. The reversal of 63751919616 is 61691915736.

It is a happy number.

63751919616 is a `hidden beast` number, since 6 + 3 + 7 + 5 + 1 + 9 + 19 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63751919617) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2056513521 + ... + 2056513551.

It is an arithmetic number, because the mean of its divisors is an integer number (180756576).

Almost surely, 2^63751919616 is an apocalyptic number.

63751919616 is a gapful number since it is divisible by the number (66) 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 63751919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130144734720).

63751919616 is an abundant number, since it is smaller than the sum of its proper divisors (196537549824).

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

63751919616 is a wasteful number, since it uses less digits than its factorization.

63751919616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The spelling of 63751919616 in words is "sixty-three billion, seven hundred fifty-one million, nine hundred nineteen thousand, six hundred sixteen".