6634400886960 has 1280 divisors, whose sum is σ = 27526046220288. Its totient is φ = 1281982464000.

The previous prime is 6634400886959. The next prime is 6634400887013. The reversal of 6634400886960 is 696880044366.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6634400886894 and 6634400886903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1381876560 + ... + 1381881360.

Almost surely, 2^{6634400886960} is an apocalyptic number.

6634400886960 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 6634400886960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763023110144).

6634400886960 is an abundant number, since it is smaller than the sum of its proper divisors (20891645333328).

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

6634400886960 is a wasteful number, since it uses less digits than its factorization.

6634400886960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 6634400886960 in words is "six trillion, six hundred thirty-four billion, four hundred million, eight hundred eighty-six thousand, nine hundred sixty".