5664353728950 has 864 divisors, whose sum is σ = 18509736301056. Its totient is φ = 1262970455040.

The previous prime is 5664353728903. The next prime is 5664353728963. The reversal of 5664353728950 is 598273534665.

It is a happy number.

5664353728950 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 3 + 537 + 2 + 8 + 95 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 21537466519 + ... + 21537466781.

It is an arithmetic number, because the mean of its divisors is an integer number (21423305904).

Almost surely, 2^{5664353728950} is an apocalyptic number.

5664353728950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664353728950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9254868150528).

5664353728950 is an abundant number, since it is smaller than the sum of its proper divisors (12845382572106).

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

5664353728950 is a wasteful number, since it uses less digits than its factorization.

5664353728950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 5664353728950 in words is "five trillion, six hundred sixty-four billion, three hundred fifty-three million, seven hundred twenty-eight thousand, nine hundred fifty".