10741762832640 has 576 divisors, whose sum is σ = 43698723747840. Its totient is φ = 2189208453120.

The previous prime is 10741762832611. The next prime is 10741762832641. The reversal of 10741762832640 is 4623826714701.

It is a super-2 number, since 2×10741762832640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (10741762832641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8063635 + ... + 9300845.

It is an arithmetic number, because the mean of its divisors is an integer number (75865839840).

Almost surely, 2^{10741762832640} is an apocalyptic number.

10741762832640 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 10741762832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21849361873920).

10741762832640 is an abundant number, since it is smaller than the sum of its proper divisors (32956960915200).

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

10741762832640 is a wasteful number, since it uses less digits than its factorization.

10741762832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237278 (or 1237264 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 10741762832640 in words is "ten trillion, seven hundred forty-one billion, seven hundred sixty-two million, eight hundred thirty-two thousand, six hundred forty".