10435618763664 has 240 divisors, whose sum is σ = 28143045979776. Its totient is φ = 3331773419520.

The previous prime is 10435618763621. The next prime is 10435618763671. The reversal of 10435618763664 is 46636781653401.

It is a super-3 number, since 3×10435618763664³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10435618763598 and 10435618763607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6374842654 + ... + 6374844290.

Almost surely, 2^{10435618763664} 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 10435618763664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071522989888).

10435618763664 is an abundant number, since it is smaller than the sum of its proper divisors (17707427216112).

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

10435618763664 is a wasteful number, since it uses less digits than its factorization.

10435618763664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 10435618763664 in words is "ten trillion, four hundred thirty-five billion, six hundred eighteen million, seven hundred sixty-three thousand, six hundred sixty-four".