534940985376 has 1152 divisors, whose sum is σ = 2030285537280. Its totient is φ = 135020971008.

The previous prime is 534940985363. The next prime is 534940985431. The reversal of 534940985376 is 673589049435.

534940985376 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 4 + 0 + 98 + 537 + 6 = 666.

It is a super-2 number, since 2×534940985376² (a number of 24 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 1022831451 + ... + 1022831973.

It is an arithmetic number, because the mean of its divisors is an integer number (1762400640).

Almost surely, 2^534940985376 is an apocalyptic number.

534940985376 is a gapful number since it is divisible by the number (56) 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 534940985376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015142768640).

534940985376 is an abundant number, since it is smaller than the sum of its proper divisors (1495344551904).

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

534940985376 is a wasteful number, since it uses less digits than its factorization.

534940985376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 534940985376 in words is "five hundred thirty-four billion, nine hundred forty million, nine hundred eighty-five thousand, three hundred seventy-six".