63477638642880 has 1344 divisors, whose sum is σ = 284421954700800. Its totient is φ = 13178802954240.

The previous prime is 63477638642867. The next prime is 63477638642893. The reversal of 63477638642880 is 8824683677436.

63477638642880 is a `hidden beast` number, since 6 + 3 + 47 + 7 + 6 + 3 + 86 + 428 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (63477638642867) and next prime (63477638642893).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 63477638642799 and 63477638642808.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6086641506 + ... + 6086651934.

It is an arithmetic number, because the mean of its divisors is an integer number (211623478200).

Almost surely, 2^{63477638642880} is an apocalyptic number.

63477638642880 is a gapful number since it is divisible by the number (60) 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 63477638642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142210977350400).

63477638642880 is an abundant number, since it is smaller than the sum of its proper divisors (220944316057920).

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

63477638642880 is a wasteful number, since it uses less digits than its factorization.

63477638642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11787 (or 11764 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 72.

The spelling of 63477638642880 in words is "sixty-three trillion, four hundred seventy-seven billion, six hundred thirty-eight million, six hundred forty-two thousand, eight hundred eighty".