61934745600 has 1296 divisors, whose sum is σ = 279188615160. Its totient is φ = 13005619200.

The previous prime is 61934745577. The next prime is 61934745641. The reversal of 61934745600 is 654743916.

61934745600 is a `hidden beast` number, since 6 + 1 + 9 + 34 + 7 + 4 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293529495 + ... + 293529705.

Almost surely, 2^61934745600 is an apocalyptic number.

61934745600 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 61934745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139594307580).

61934745600 is an abundant number, since it is smaller than the sum of its proper divisors (217253869560).

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

61934745600 is a wasteful number, since it uses less digits than its factorization.

61934745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 61934745600 in words is "sixty-one billion, nine hundred thirty-four million, seven hundred forty-five thousand, six hundred".