536642372448 has 1728 divisors, whose sum is σ = 2154486237120. Its totient is φ = 128672022528.

The previous prime is 536642372407. The next prime is 536642372471. The reversal of 536642372448 is 844273246635.

536642372448 is a `hidden beast` number, since 5 + 366 + 4 + 2 + 37 + 244 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 536642372394 and 536642372403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7351265340 + ... + 7351265412.

It is an arithmetic number, because the mean of its divisors is an integer number (1246809165).

Almost surely, 2^536642372448 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 536642372448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077243118560).

536642372448 is an abundant number, since it is smaller than the sum of its proper divisors (1617843864672).

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

536642372448 is a wasteful number, since it uses less digits than its factorization.

536642372448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 154 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 536642372448 in words is "five hundred thirty-six billion, six hundred forty-two million, three hundred seventy-two thousand, four hundred forty-eight".