61624141200 has 120 divisors (see below), whose sum is σ = 219336333600. Its totient is φ = 16433101440.

The previous prime is 61624141069. The next prime is 61624141231. The reversal of 61624141200 is 214142616.

61624141200 is a `hidden beast` number, since 6 + 1 + 6 + 241 + 412 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2842170 + ... + 2863769.

It is an arithmetic number, because the mean of its divisors is an integer number (1827802780).

Almost surely, 2^61624141200 is an apocalyptic number.

61624141200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61624141200 is an abundant number, since it is smaller than the sum of its proper divisors (157712192400).

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

61624141200 is a wasteful number, since it uses less digits than its factorization.

61624141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705966 (or 5705949 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 61624141200 its reverse (214142616), we get a palindrome (61838283816).

The spelling of 61624141200 in words is "sixty-one billion, six hundred twenty-four million, one hundred forty-one thousand, two hundred".