45562279680 has 720 divisors, whose sum is σ = 174066631200. Its totient is φ = 11346739200.

The previous prime is 45562279627. The next prime is 45562279733. The reversal of 45562279680 is 8697226554.

45562279680 is a `hidden beast` number, since 4 + 5 + 5 + 622 + 7 + 9 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45562279627) and next prime (45562279733).

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 198961806 + ... + 198962034.

It is an arithmetic number, because the mean of its divisors is an integer number (241759210).

Almost surely, 2^45562279680 is an apocalyptic number.

45562279680 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 45562279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87033315600).

45562279680 is an abundant number, since it is smaller than the sum of its proper divisors (128504351520).

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

45562279680 is a wasteful number, since it uses less digits than its factorization.

45562279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45562279680 in words is "forty-five billion, five hundred sixty-two million, two hundred seventy-nine thousand, six hundred eighty".