537868782000 has 640 divisors, whose sum is σ = 2111714841600. Its totient is φ = 129785472000.

The previous prime is 537868781969. The next prime is 537868782007. The reversal of 537868782000 is 287868735.

537868782000 is a `hidden beast` number, since 5 + 378 + 68 + 7 + 8 + 200 + 0 = 666.

537868782000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (537868782007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134836006 + ... + 134839994.

It is an arithmetic number, because the mean of its divisors is an integer number (3299554440).

Almost surely, 2^537868782000 is an apocalyptic number.

537868782000 is a gapful number since it is divisible by the number (50) 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 537868782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055857420800).

537868782000 is an abundant number, since it is smaller than the sum of its proper divisors (1573846059600).

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

537868782000 is a wasteful number, since it uses less digits than its factorization.

537868782000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 537868782000 in words is "five hundred thirty-seven billion, eight hundred sixty-eight million, seven hundred eighty-two thousand".