536608451736 has 384 divisors, whose sum is σ = 1790806118400. Its totient is φ = 141905157120.

The previous prime is 536608451671. The next prime is 536608451837. The reversal of 536608451736 is 637154806635.

536608451736 is a `hidden beast` number, since 5 + 36 + 60 + 8 + 4 + 517 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34099326 + ... + 34115058.

It is an arithmetic number, because the mean of its divisors is an integer number (4663557600).

Almost surely, 2^536608451736 is an apocalyptic number.

536608451736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536608451736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895403059200).

536608451736 is an abundant number, since it is smaller than the sum of its proper divisors (1254197666664).

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

536608451736 is a wasteful number, since it uses less digits than its factorization.

536608451736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15879 (or 15872 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 536608451736 in words is "five hundred thirty-six billion, six hundred eight million, four hundred fifty-one thousand, seven hundred thirty-six".