61867324800 has 768 divisors, whose sum is σ = 243441115200. Its totient is φ = 15288238080.

The previous prime is 61867324789. The next prime is 61867324837. The reversal of 61867324800 is 842376816.

61867324800 is a `hidden beast` number, since 61 + 86 + 7 + 32 + 480 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107222112 + ... + 107222688.

Almost surely, 2^61867324800 is an apocalyptic number.

61867324800 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 61867324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121720557600).

61867324800 is an abundant number, since it is smaller than the sum of its proper divisors (181573790400).

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

61867324800 is a wasteful number, since it uses less digits than its factorization.

61867324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 61867324800 in words is "sixty-one billion, eight hundred sixty-seven million, three hundred twenty-four thousand, eight hundred".