534970275840 has 1536 divisors, whose sum is σ = 2554588108800. Its totient is φ = 102558597120.

The previous prime is 534970275821. The next prime is 534970275883. The reversal of 534970275840 is 48572079435.

It is a happy number.

534970275840 is a `hidden beast` number, since 5 + 3 + 497 + 0 + 2 + 75 + 84 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 276755514 + ... + 276757446.

It is an arithmetic number, because the mean of its divisors is an integer number (1663143300).

Almost surely, 2^534970275840 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 534970275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277294054400).

534970275840 is an abundant number, since it is smaller than the sum of its proper divisors (2019617832960).

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

534970275840 is a wasteful number, since it uses less digits than its factorization.

534970275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 534970275840 in words is "five hundred thirty-four billion, nine hundred seventy million, two hundred seventy-five thousand, eight hundred forty".