61008422400 has 900 divisors, whose sum is σ = 239768166132. Its totient is φ = 15318097920.

The previous prime is 61008422399. The next prime is 61008422491. The reversal of 61008422400 is 422480016.

61008422400 is a `hidden beast` number, since 610 + 0 + 8 + 4 + 2 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 374284719 + ... + 374284881.

Almost surely, 2^61008422400 is an apocalyptic number.

61008422400 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 61008422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119884083066).

61008422400 is an abundant number, since it is smaller than the sum of its proper divisors (178759743732).

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

61008422400 is a wasteful number, since it uses less digits than its factorization.

61008422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 61008422400 in words is "sixty-one billion, eight million, four hundred twenty-two thousand, four hundred".