534867494400 has 720 divisors, whose sum is σ = 1994722329600. Its totient is φ = 141937090560.

The previous prime is 534867494351. The next prime is 534867494407. The reversal of 534867494400 is 4494768435.

534867494400 is a `hidden beast` number, since 5 + 3 + 4 + 86 + 74 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534867494407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1116633361 + ... + 1116633839.

It is an arithmetic number, because the mean of its divisors is an integer number (2770447680).

Almost surely, 2^534867494400 is an apocalyptic number.

534867494400 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 534867494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997361164800).

534867494400 is an abundant number, since it is smaller than the sum of its proper divisors (1459854835200).

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

534867494400 is an equidigital number, since it uses as much as digits as its factorization.

534867494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 534867494400 in words is "five hundred thirty-four billion, eight hundred sixty-seven million, four hundred ninety-four thousand, four hundred".