61874180690400 has 1728 divisors, whose sum is σ = 246682367568000. Its totient is φ = 14488363008000.

The previous prime is 61874180690389. The next prime is 61874180690437. The reversal of 61874180690400 is 409608147816.

61874180690400 is a `hidden beast` number, since 6 + 1 + 8 + 74 + 1 + 80 + 6 + 90 + 400 = 666.

It is a super-2 number, since 2×61874180690400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73747533181 + ... + 73747534019.

It is an arithmetic number, because the mean of its divisors is an integer number (142755999750).

Almost surely, 2^{61874180690400} is an apocalyptic number.

61874180690400 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 61874180690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123341183784000).

61874180690400 is an abundant number, since it is smaller than the sum of its proper divisors (184808186877600).

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

61874180690400 is a wasteful number, since it uses less digits than its factorization.

61874180690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1261 counting only the distinct ones).

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

The spelling of 61874180690400 in words is "sixty-one trillion, eight hundred seventy-four billion, one hundred eighty million, six hundred ninety thousand, four hundred".