10639455840 has 768 divisors, whose sum is σ = 43182720000. Its totient is φ = 2439051264.

The previous prime is 10639455839. The next prime is 10639455863. The reversal of 10639455840 is 4855493601.

10639455840 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 94 + 558 + 4 + 0 = 666.

It is a super-2 number, since 2×10639455840² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180329731 + ... + 180329789.

It is an arithmetic number, because the mean of its divisors is an integer number (56227500).

Almost surely, 2^10639455840 is an apocalyptic number.

10639455840 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 10639455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360000).

10639455840 is an abundant number, since it is smaller than the sum of its proper divisors (32543264160).

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

10639455840 is a wasteful number, since it uses less digits than its factorization.

10639455840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10639455840 in words is "ten billion, six hundred thirty-nine million, four hundred fifty-five thousand, eight hundred forty".