45473379840 has 720 divisors, whose sum is σ = 187315457472. Its totient is φ = 10160898048.

The previous prime is 45473379829. The next prime is 45473379863. The reversal of 45473379840 is 4897337454.

45473379840 is a `hidden beast` number, since 4 + 547 + 3 + 3 + 7 + 98 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53060692 + ... + 53061548.

Almost surely, 2^45473379840 is an apocalyptic number.

45473379840 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 45473379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93657728736).

45473379840 is an abundant number, since it is smaller than the sum of its proper divisors (141842077632).

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

45473379840 is a wasteful number, since it uses less digits than its factorization.

45473379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 45473379840 in words is "forty-five billion, four hundred seventy-three million, three hundred seventy-nine thousand, eight hundred forty".