537768000 has 672 divisors, whose sum is σ = 2423086848. Its totient is φ = 110592000.

The previous prime is 537767981. The next prime is 537768041. The reversal of 537768000 is 867735.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5543952 + ... + 5544048.

It is an arithmetic number, because the mean of its divisors is an integer number (3605784).

Almost surely, 2^537768000 is an apocalyptic number.

537768000 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 537768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211543424).

537768000 is an abundant number, since it is smaller than the sum of its proper divisors (1885318848).

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

537768000 is a wasteful number, since it uses less digits than its factorization.

537768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 537768000 is about 23189.8253550992. The cubic root of 537768000 is about 813.2017763269.

It can be divided in two parts, 53776 and 8000, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 537768000 in words is "five hundred thirty-seven million, seven hundred sixty-eight thousand".