61872218496 has 256 divisors, whose sum is σ = 205639833600. Its totient is φ = 18144000000.

The previous prime is 61872218489. The next prime is 61872218503. The reversal of 61872218496 is 69481227816.

It is a happy number.

61872218496 is a `hidden beast` number, since 61 + 8 + 72 + 21 + 8 + 496 = 666.

61872218496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61872218489) and next prime (61872218503).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152246 + ... + 1204746.

It is an arithmetic number, because the mean of its divisors is an integer number (803280600).

Almost surely, 2^61872218496 is an apocalyptic number.

61872218496 is a gapful number since it is divisible by the number (66) 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 61872218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102819916800).

61872218496 is an abundant number, since it is smaller than the sum of its proper divisors (143767615104).

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

61872218496 is a wasteful number, since it uses less digits than its factorization.

61872218496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52566 (or 52548 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 61872218496 in words is "sixty-one billion, eight hundred seventy-two million, two hundred eighteen thousand, four hundred ninety-six".