61675009920 has 768 divisors, whose sum is σ = 239987966400. Its totient is φ = 14516748288.

The previous prime is 61675009889. The next prime is 61675009939. The reversal of 61675009920 is 2990057616.

It is a happy number.

61675009920 is a `hidden beast` number, since 61 + 67 + 500 + 9 + 9 + 20 = 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105067867 + ... + 105068453.

Almost surely, 2^61675009920 is an apocalyptic number.

61675009920 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 61675009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119993983200).

61675009920 is an abundant number, since it is smaller than the sum of its proper divisors (178312956480).

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

61675009920 is a wasteful number, since it uses less digits than its factorization.

61675009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 61675009920 in words is "sixty-one billion, six hundred seventy-five million, nine thousand, nine hundred twenty".