61879633200 has 1440 divisors, whose sum is σ = 291676569600. Its totient is φ = 11757312000.

The previous prime is 61879633183. The next prime is 61879633201. The reversal of 61879633200 is 233697816.

61879633200 is a `hidden beast` number, since 6 + 1 + 8 + 7 + 9 + 633 + 2 + 0 + 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 (61879633201) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 163270611 + ... + 163270989.

Almost surely, 2^61879633200 is an apocalyptic number.

61879633200 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 61879633200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145838284800).

61879633200 is an abundant number, since it is smaller than the sum of its proper divisors (229796936400).

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

61879633200 is a wasteful number, since it uses less digits than its factorization.

61879633200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 61879633200 in words is "sixty-one billion, eight hundred seventy-nine million, six hundred thirty-three thousand, two hundred".