5946907659264 has 1408 divisors, whose sum is σ = 21588525342720. Its totient is φ = 1605795840000.

The previous prime is 5946907659263. The next prime is 5946907659299. The reversal of 5946907659264 is 4629567096495.

5946907659264 is a `hidden beast` number, since 5 + 9 + 469 + 0 + 76 + 5 + 92 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 = 5946907659192 and 5946907659201.

It is not an unprimeable number, because it can be changed into a prime (5946907659263) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 14830193464 + ... + 14830193864.

Almost surely, 2^{5946907659264} is an apocalyptic number.

5946907659264 is a gapful number since it is divisible by the number (54) 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 5946907659264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794262671360).

5946907659264 is an abundant number, since it is smaller than the sum of its proper divisors (15641617683456).

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

5946907659264 is a wasteful number, since it uses less digits than its factorization.

5946907659264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 5946907659264 in words is "five trillion, nine hundred forty-six billion, nine hundred seven million, six hundred fifty-nine thousand, two hundred sixty-four".