45719069760 has 1512 divisors, whose sum is σ = 208312243776. Its totient is φ = 9510359040.

The previous prime is 45719069749. The next prime is 45719069777. The reversal of 45719069760 is 6796091754.

45719069760 is a `hidden beast` number, since 4 + 571 + 9 + 0 + 6 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45719069697 and 45719069706.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 643930525 + ... + 643930595.

It is an arithmetic number, because the mean of its divisors is an integer number (137772648).

Almost surely, 2^45719069760 is an apocalyptic number.

45719069760 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 45719069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104156121888).

45719069760 is an abundant number, since it is smaller than the sum of its proper divisors (162593174016).

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

45719069760 is a wasteful number, since it uses less digits than its factorization.

45719069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 45719069760 in words is "forty-five billion, seven hundred nineteen million, sixty-nine thousand, seven hundred sixty".