953674316406 has 256 divisors, whose sum is σ = 2635431936000. Its totient is φ = 249460767360.

The previous prime is 953674316393. The next prime is 953674316411. The reversal of 953674316406 is 604613476359.

953674316406 is a `hidden beast` number, since 9 + 536 + 7 + 43 + 1 + 64 + 0 + 6 = 666.

953674316406 is nontrivially palindromic in base 5.

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

953674316406 is a nontrivial repdigit in base 5.

It is a plaindrome in base 5.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 5.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184567635 + ... + 184572801.

It is an arithmetic number, because the mean of its divisors is an integer number (10294656000).

Almost surely, 2^953674316406 is an apocalyptic number.

It is a pronic number, being equal to 976562×976563.

It is a practical number, because each smaller number is the sum of distinct divisors of 953674316406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317715968000).

953674316406 is an abundant number, since it is smaller than the sum of its proper divisors (1681757619594).

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

953674316406 is a wasteful number, since it uses less digits than its factorization.

953674316406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 953674316406 in words is "nine hundred fifty-three billion, six hundred seventy-four million, three hundred sixteen thousand, four hundred six".