61268659200 has 1386 divisors, whose sum is σ = 268833549876. Its totient is φ = 13795246080.

The previous prime is 61268659183. The next prime is 61268659201. The reversal of 61268659200 is 295686216.

61268659200 is a `hidden beast` number, since 612 + 6 + 8 + 6 + 5 + 9 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61268659201) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 914457567 + ... + 914457633.

Almost surely, 2^61268659200 is an apocalyptic number.

61268659200 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 61268659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416774938).

61268659200 is an abundant number, since it is smaller than the sum of its proper divisors (207564890676).

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

61268659200 is an equidigital number, since it uses as much as digits as its factorization.

61268659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61268659200 in words is "sixty-one billion, two hundred sixty-eight million, six hundred fifty-nine thousand, two hundred".