45302763579840 has 672 divisors, whose sum is σ = 168288973332480. Its totient is φ = 11119612649472.

The previous prime is 45302763579781. The next prime is 45302763579863. The reversal of 45302763579840 is 4897536720354.

It is a happy number.

45302763579840 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 276 + 357 + 9 + 8 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34346294701 + ... + 34346296019.

It is an arithmetic number, because the mean of its divisors is an integer number (250430019840).

Almost surely, 2^{45302763579840} is an apocalyptic number.

45302763579840 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 45302763579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84144486666240).

45302763579840 is an abundant number, since it is smaller than the sum of its proper divisors (122986209752640).

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

45302763579840 is a wasteful number, since it uses less digits than its factorization.

45302763579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 45302763579840 in words is "forty-five trillion, three hundred two billion, seven hundred sixty-three million, five hundred seventy-nine thousand, eight hundred forty".