61403846400 has 324 divisors, whose sum is σ = 236422616248. Its totient is φ = 15114608640.

The previous prime is 61403846369. The next prime is 61403846443. The reversal of 61403846400 is 464830416.

61403846400 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 3 + 8 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 707799 + ... + 789801.

Almost surely, 2^61403846400 is an apocalyptic number.

61403846400 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 61403846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118211308124).

61403846400 is an abundant number, since it is smaller than the sum of its proper divisors (175018769848).

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

61403846400 is a wasteful number, since it uses less digits than its factorization.

61403846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82048 (or 82026 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 61403846400 in words is "sixty-one billion, four hundred three million, eight hundred forty-six thousand, four hundred".