10765616400 has 720 divisors, whose sum is σ = 47320685568. Its totient is φ = 2201472000.

The previous prime is 10765616399. The next prime is 10765616413. The reversal of 10765616400 is 461656701.

10765616400 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 5 + 6 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19680927 + ... + 19681473.

Almost surely, 2^10765616400 is an apocalyptic number.

10765616400 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 10765616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23660342784).

10765616400 is an abundant number, since it is smaller than the sum of its proper divisors (36555069168).

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

10765616400 is a wasteful number, since it uses less digits than its factorization.

10765616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10765616400 in words is "ten billion, seven hundred sixty-five million, six hundred sixteen thousand, four hundred".