45070691760 has 160 divisors (see below), whose sum is σ = 155822616000. Its totient is φ = 11974017024.

The previous prime is 45070691747. The next prime is 45070691767. The reversal of 45070691760 is 6719607054.

It is a happy number.

45070691760 is a `hidden beast` number, since 450 + 70 + 69 + 1 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45070691767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542256 + ... + 619824.

It is an arithmetic number, because the mean of its divisors is an integer number (973891350).

Almost surely, 2^45070691760 is an apocalyptic number.

45070691760 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 45070691760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77911308000).

45070691760 is an abundant number, since it is smaller than the sum of its proper divisors (110751924240).

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

45070691760 is a wasteful number, since it uses less digits than its factorization.

45070691760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77860 (or 77848 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 45070691760 in words is "forty-five billion, seventy million, six hundred ninety-one thousand, seven hundred sixty".