10641087636624 has 675 divisors, whose sum is σ = 33126549407721. Its totient is φ = 3297559299840.

The previous prime is 10641087636607. The next prime is 10641087636677. The reversal of 10641087636624 is 42663678014601.

The square root of 10641087636624 is 3262068.

It is a perfect power (a square), and thus also a powerful number.

10641087636624 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 0 + 8 + 7 + 6 + 3 + 6 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9521791347600 + 1119296289024 = 3085740^2 + 1057968^2 .

It is a super-2 number, since 2×10641087636624² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 134697311817 + ... + 134697311895.

Almost surely, 2^{10641087636624} is an apocalyptic number.

10641087636624 is the 3262068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10641087636624

10641087636624 is an abundant number, since it is smaller than the sum of its proper divisors (22485461771097).

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

10641087636624 is an frugal number, since it uses more digits than its factorization.

10641087636624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 10641087636624 in words is "ten trillion, six hundred forty-one billion, eighty-seven million, six hundred thirty-six thousand, six hundred twenty-four".