536631367680 has 1536 divisors, whose sum is σ = 2173796352000. Its totient is φ = 124853944320.

The previous prime is 536631367609. The next prime is 536631367703. The reversal of 536631367680 is 86763136635.

It is a happy number.

536631367680 is a `hidden beast` number, since 5 + 366 + 3 + 136 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4225443777 + ... + 4225443903.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232000).

Almost surely, 2^536631367680 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 536631367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086898176000).

536631367680 is an abundant number, since it is smaller than the sum of its proper divisors (1637164984320).

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

536631367680 is a wasteful number, since it uses less digits than its factorization.

536631367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 536631367680 in words is "five hundred thirty-six billion, six hundred thirty-one million, three hundred sixty-seven thousand, six hundred eighty".