45761108640 has 768 divisors, whose sum is σ = 172009474560. Its totient is φ = 10121379840.

The previous prime is 45761108633. The next prime is 45761108671. The reversal of 45761108640 is 4680116754.

It is a junction number, because it is equal to n+sod(n) for n = 45761108592 and 45761108601.

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, 349321375 + ... + 349321505.

It is an arithmetic number, because the mean of its divisors is an integer number (223970670).

Almost surely, 2^45761108640 is an apocalyptic number.

45761108640 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 45761108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86004737280).

45761108640 is an abundant number, since it is smaller than the sum of its proper divisors (126248365920).

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

45761108640 is a wasteful number, since it uses less digits than its factorization.

45761108640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 45761108640 in words is "forty-five billion, seven hundred sixty-one million, one hundred eight thousand, six hundred forty".