61747200000 has 576 divisors, whose sum is σ = 226286063640. Its totient is φ = 16220160000.

The previous prime is 61747199999. The next prime is 61747200001. The reversal of 61747200000 is 274716.

61747200000 is a `hidden beast` number, since 617 + 47 + 2 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61747199999) and next prime (61747200001).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61747200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 921599967 + ... + 921600033.

Almost surely, 2^61747200000 is an apocalyptic number.

61747200000 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 61747200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113143031820).

61747200000 is an abundant number, since it is smaller than the sum of its proper divisors (164538863640).

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

61747200000 is an frugal number, since it uses more digits than its factorization.

61747200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 61747200000 its reverse (274716), we get a palindrome (61747474716).

The spelling of 61747200000 in words is "sixty-one billion, seven hundred forty-seven million, two hundred thousand".