5490723667968 has 720 divisors, whose sum is σ = 19837299081600. Its totient is φ = 1421711769600.

The previous prime is 5490723667943. The next prime is 5490723667987. The reversal of 5490723667968 is 8697663270945.

5490723667968 is a `hidden beast` number, since 5 + 490 + 7 + 2 + 3 + 6 + 6 + 79 + 68 = 666.

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 = 5490723667896 and 5490723667905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5234245108 + ... + 5234246156.

It is an arithmetic number, because the mean of its divisors is an integer number (27551804280).

Almost surely, 2^{5490723667968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5490723667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9918649540800).

5490723667968 is an abundant number, since it is smaller than the sum of its proper divisors (14346575413632).

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

5490723667968 is a wasteful number, since it uses less digits than its factorization.

5490723667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 5490723667968 in words is "five trillion, four hundred ninety billion, seven hundred twenty-three million, six hundred sixty-seven thousand, nine hundred sixty-eight".