10466772072640 has 168 divisors, whose sum is σ = 26995551942240. Its totient is φ = 3863674773504.

The previous prime is 10466772072587. The next prime is 10466772072683. The reversal of 10466772072640 is 4627027766401.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233981796 + ... + 234026524.

It is an arithmetic number, because the mean of its divisors is an integer number (160687809180).

Almost surely, 2^{10466772072640} is an apocalyptic number.

10466772072640 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 10466772072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497775971120).

10466772072640 is an abundant number, since it is smaller than the sum of its proper divisors (16528779869600).

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

10466772072640 is a wasteful number, since it uses less digits than its factorization.

10466772072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49099 (or 49076 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 52.

The spelling of 10466772072640 in words is "ten trillion, four hundred sixty-six billion, seven hundred seventy-two million, seventy-two thousand, six hundred forty".