5367339829504 has 81 divisors (see below), whose sum is σ = 11098113873483. Its totient is φ = 2590610620416.

The previous prime is 5367339829483. The next prime is 5367339829507. The reversal of 5367339829504 is 4059289337635.

The square root of 5367339829504 is 2316752.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 90432518400 + 5276907311104 = 300720^2 + 2297152^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5367339829507) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1074970432 + ... + 1074975424.

Almost surely, 2^{5367339829504} is an apocalyptic number.

5367339829504 is the 2316752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5367339829504

5367339829504 is an abundant number, since it is smaller than the sum of its proper divisors (5730774043979).

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

5367339829504 is an frugal number, since it uses more digits than its factorization.

5367339829504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 64.

Multiplying 5367339829504 by its sum of digits (64), we get a square (343509749088256 = 18534016²).

5367339829504 divided by its sum of digits (64) gives a square (83864684836 = 289594²).

The spelling of 5367339829504 in words is "five trillion, three hundred sixty-seven billion, three hundred thirty-nine million, eight hundred twenty-nine thousand, five hundred four".