10677436640640 has 1536 divisors, whose sum is σ = 49744914186240. Its totient is φ = 2122168688640.

The previous prime is 10677436640579. The next prime is 10677436640683. The reversal of 10677436640640 is 4604663477601.

10677436640640 is a `hidden beast` number, since 10 + 67 + 74 + 3 + 66 + 406 + 40 = 666.

It is a super-2 number, since 2×10677436640640² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275406537 + ... + 275445303.

It is an arithmetic number, because the mean of its divisors is an integer number (32386011840).

Almost surely, 2^{10677436640640} is an apocalyptic number.

10677436640640 is a gapful number since it is divisible by the number (10) 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 10677436640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872457093120).

10677436640640 is an abundant number, since it is smaller than the sum of its proper divisors (39067477545600).

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

10677436640640 is a wasteful number, since it uses less digits than its factorization.

10677436640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38842 (or 38818 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 10677436640640 in words is "ten trillion, six hundred seventy-seven billion, four hundred thirty-six million, six hundred forty thousand, six hundred forty".