10949732640 has 1152 divisors, whose sum is σ = 50982317568. Its totient is φ = 2070282240.

The previous prime is 10949732597. The next prime is 10949732641. The reversal of 10949732640 is 4623794901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10949732641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69743442 + ... + 69743598.

It is an arithmetic number, because the mean of its divisors is an integer number (44255484).

Almost surely, 2^10949732640 is an apocalyptic number.

10949732640 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 10949732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25491158784).

10949732640 is an abundant number, since it is smaller than the sum of its proper divisors (40032584928).

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

10949732640 is a wasteful number, since it uses less digits than its factorization.

10949732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10949732640 in words is "ten billion, nine hundred forty-nine million, seven hundred thirty-two thousand, six hundred forty".