61874467891200 has 1728 divisors, whose sum is σ = 235305266217840. Its totient is φ = 15519449088000.

The previous prime is 61874467891193. The next prime is 61874467891237. The reversal of 61874467891200 is 219876447816.

61874467891200 is a `hidden beast` number, since 6 + 1 + 8 + 74 + 467 + 89 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 42794205225984 + 19080262665216 = 6541728^2 + 4368096^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61080421894 + ... + 61080422906.

Almost surely, 2^{61874467891200} is an apocalyptic number.

61874467891200 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 61874467891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117652633108920).

61874467891200 is an abundant number, since it is smaller than the sum of its proper divisors (173430798326640).

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

61874467891200 is a wasteful number, since it uses less digits than its factorization.

61874467891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 61874467891200 in words is "sixty-one trillion, eight hundred seventy-four billion, four hundred sixty-seven million, eight hundred ninety-one thousand, two hundred".