10377768960 has 624 divisors, whose sum is σ = 39928569408. Its totient is φ = 2477260800.

The previous prime is 10377768911. The next prime is 10377768967. The reversal of 10377768960 is 6986777301.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10377768897 and 10377768906.

It is not an unprimeable number, because it can be changed into a prime (10377768967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146165725 + ... + 146165795.

It is an arithmetic number, because the mean of its divisors is an integer number (63988092).

Almost surely, 2^10377768960 is an apocalyptic number.

10377768960 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 10377768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19964284704).

10377768960 is an abundant number, since it is smaller than the sum of its proper divisors (29550800448).

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

10377768960 is a wasteful number, since it uses less digits than its factorization.

10377768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 10377768960 in words is "ten billion, three hundred seventy-seven million, seven hundred sixty-eight thousand, nine hundred sixty".