61584182820 has 96 divisors (see below), whose sum is σ = 201679228800. Its totient is φ = 15558106752.

The previous prime is 61584182809. The next prime is 61584182893. The reversal of 61584182820 is 2828148516.

61584182820 is a `hidden beast` number, since 6 + 158 + 418 + 2 + 82 + 0 = 666.

It is a super-2 number, since 2×61584182820² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2990919 + ... + 3011438.

It is an arithmetic number, because the mean of its divisors is an integer number (2100825300).

Almost surely, 2^61584182820 is an apocalyptic number.

61584182820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61584182820 is an abundant number, since it is smaller than the sum of its proper divisors (140095045980).

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

61584182820 is a wasteful number, since it uses less digits than its factorization.

61584182820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002394 (or 6002386 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 61584182820 in words is "sixty-one billion, five hundred eighty-four million, one hundred eighty-two thousand, eight hundred twenty".