45760000000 has 416 divisors, whose sum is σ = 134383249728. Its totient is φ = 15360000000.

The previous prime is 45759999997. The next prime is 45760000003. The reversal of 45760000000 is 6754.

It is an interprime number because it is at equal distance from previous prime (45759999997) and next prime (45760000003).

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (45760000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3519999994 + ... + 3520000006.

It is an arithmetic number, because the mean of its divisors is an integer number (323036658).

Almost surely, 2^45760000000 is an apocalyptic number.

45760000000 is a gapful number since it is divisible by the number (40) 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 45760000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67191624864).

45760000000 is an abundant number, since it is smaller than the sum of its proper divisors (88623249728).

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

45760000000 is an frugal number, since it uses more digits than its factorization.

45760000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

Adding to 45760000000 its reverse (6754), we get a palindrome (45760006754).

The spelling of 45760000000 in words is "forty-five billion, seven hundred sixty million", and thus it is an aban number.