61818900480 has 468 divisors, whose sum is σ = 222048999900. Its totient is φ = 15907553280.

The previous prime is 61818900457. The next prime is 61818900503. The reversal of 61818900480 is 8400981816.

61818900480 is a `hidden beast` number, since 6 + 1 + 81 + 8 + 90 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (61818900457) and next prime (61818900503).

It can be written as a sum of positive squares in 2 ways, for example, as 34044678144 + 27774222336 = 184512^2 + 166656^2 .

It is a super-2 number, since 2×61818900480² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177131346 + ... + 177131694.

It is an arithmetic number, because the mean of its divisors is an integer number (474463675).

Almost surely, 2^61818900480 is an apocalyptic number.

61818900480 is a gapful number since it is divisible by the number (60) 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 61818900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111024499950).

61818900480 is an abundant number, since it is smaller than the sum of its proper divisors (160230099420).

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

61818900480 is a wasteful number, since it uses less digits than its factorization.

61818900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 61818900480 in words is "sixty-one billion, eight hundred eighteen million, nine hundred thousand, four hundred eighty".