63778731264 has 360 divisors, whose sum is σ = 195684727392. Its totient is φ = 20652503040.

The previous prime is 63778731257. The next prime is 63778731271. The reversal of 63778731264 is 46213787736.

63778731264 is a `hidden beast` number, since 6 + 377 + 8 + 7 + 3 + 1 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (63778731257) and next prime (63778731271).

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 63778731264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143969827 + ... + 143970269.

Almost surely, 2^63778731264 is an apocalyptic number.

63778731264 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 63778731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97842363696).

63778731264 is an abundant number, since it is smaller than the sum of its proper divisors (131905996128).

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

63778731264 is a wasteful number, since it uses less digits than its factorization.

63778731264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 632 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 63778731264 in words is "sixty-three billion, seven hundred seventy-eight million, seven hundred thirty-one thousand, two hundred sixty-four".