536678714880 has 1920 divisors, whose sum is σ = 2445143500800. Its totient is φ = 109194117120.

The previous prime is 536678714863. The next prime is 536678714903. The reversal of 536678714880 is 88417876635.

536678714880 is a `hidden beast` number, since 536 + 6 + 7 + 8 + 7 + 14 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5210472909 + ... + 5210473011.

It is an arithmetic number, because the mean of its divisors is an integer number (1273512240).

Almost surely, 2^536678714880 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 536678714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222571750400).

536678714880 is an abundant number, since it is smaller than the sum of its proper divisors (1908464785920).

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

536678714880 is a wasteful number, since it uses less digits than its factorization.

536678714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 536678714880 in words is "five hundred thirty-six billion, six hundred seventy-eight million, seven hundred fourteen thousand, eight hundred eighty".