10277763840 has 288 divisors, whose sum is σ = 36921507840. Its totient is φ = 2706960384.

The previous prime is 10277763829. The next prime is 10277763851. The reversal of 10277763840 is 4836777201.

10277763840 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 7 + 7 + 638 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10277763829) and next prime (10277763851).

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2866689 + ... + 2870271.

It is an arithmetic number, because the mean of its divisors is an integer number (128199680).

Almost surely, 2^10277763840 is an apocalyptic number.

10277763840 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 10277763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18460753920).

10277763840 is an abundant number, since it is smaller than the sum of its proper divisors (26643744000).

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

10277763840 is an equidigital number, since it uses as much as digits as its factorization.

10277763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10277763840 in words is "ten billion, two hundred seventy-seven million, seven hundred sixty-three thousand, eight hundred forty".