536378976000 has 1152 divisors, whose sum is σ = 2282964203520. Its totient is φ = 121485312000.

The previous prime is 536378975929. The next prime is 536378976019. The reversal of 536378976000 is 679873635.

536378976000 is a `hidden beast` number, since 536 + 37 + 8 + 9 + 76 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 792287662 + ... + 792288338.

It is an arithmetic number, because the mean of its divisors is an integer number (1981739760).

Almost surely, 2^536378976000 is an apocalyptic number.

536378976000 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 536378976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141482101760).

536378976000 is an abundant number, since it is smaller than the sum of its proper divisors (1746585227520).

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

536378976000 is a wasteful number, since it uses less digits than its factorization.

536378976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 536378976000 in words is "five hundred thirty-six billion, three hundred seventy-eight million, nine hundred seventy-six thousand".