5409624336864 has 96 divisors (see below), whose sum is σ = 15495364717056. Its totient is φ = 1638839070720.

The previous prime is 5409624336833. The next prime is 5409624336983. The reversal of 5409624336864 is 4686334269045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5409624336798 and 5409624336807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3248464 + ... + 4622960.

It is an arithmetic number, because the mean of its divisors is an integer number (161410049136).

Almost surely, 2^{5409624336864} is an apocalyptic number.

It is an amenable number.

5409624336864 is an abundant number, since it is smaller than the sum of its proper divisors (10085740380192).

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

5409624336864 is a wasteful number, since it uses less digits than its factorization.

5409624336864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378248 (or 1378240 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 60.

The spelling of 5409624336864 in words is "five trillion, four hundred nine billion, six hundred twenty-four million, three hundred thirty-six thousand, eight hundred sixty-four".