63738814464 has 392 divisors, whose sum is σ = 206069371452. Its totient is φ = 19588055040.

The previous prime is 63738814421. The next prime is 63738814507. The reversal of 63738814464 is 46441883736.

63738814464 is a `hidden beast` number, since 63 + 7 + 388 + 144 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (63738814421) and next prime (63738814507).

It can be written as a sum of positive squares in 2 ways, for example, as 57692196864 + 6046617600 = 240192^2 + 77760^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 63738814464.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 77635174 + ... + 77635994.

Almost surely, 2^63738814464 is an apocalyptic number.

63738814464 is a gapful number since it is divisible by the number (64) 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 63738814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103034685726).

63738814464 is an abundant number, since it is smaller than the sum of its proper divisors (142330556988).

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

63738814464 is an frugal number, since it uses more digits than its factorization.

63738814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 839 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 63738814464 in words is "sixty-three billion, seven hundred thirty-eight million, eight hundred fourteen thousand, four hundred sixty-four".