61974946800 has 300 divisors, whose sum is σ = 239534208760. Its totient is φ = 15255267840.

The previous prime is 61974946771. The next prime is 61974946843. The reversal of 61974946800 is 864947916.

61974946800 is a `hidden beast` number, since 6 + 1 + 97 + 494 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 347631 + ... + 494769.

Almost surely, 2^61974946800 is an apocalyptic number.

61974946800 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 61974946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119767104380).

61974946800 is an abundant number, since it is smaller than the sum of its proper divisors (177559261960).

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

61974946800 is a wasteful number, since it uses less digits than its factorization.

61974946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147182 (or 147162 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 61974946800 in words is "sixty-one billion, nine hundred seventy-four million, nine hundred forty-six thousand, eight hundred".