61890427620 has 192 divisors, whose sum is σ = 226002792960. Its totient is φ = 13764017664.

The previous prime is 61890427597. The next prime is 61890427631. The reversal of 61890427620 is 2672409816.

It is a happy number.

61890427620 is a `hidden beast` number, since 6 + 18 + 9 + 0 + 4 + 2 + 7 + 620 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81399 + ... + 361118.

It is an arithmetic number, because the mean of its divisors is an integer number (1177097880).

Almost surely, 2^61890427620 is an apocalyptic number.

61890427620 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 61890427620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113001396480).

61890427620 is an abundant number, since it is smaller than the sum of its proper divisors (164112365340).

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

61890427620 is a wasteful number, since it uses less digits than its factorization.

61890427620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442579 (or 442571 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 61890427620 in words is "sixty-one billion, eight hundred ninety million, four hundred twenty-seven thousand, six hundred twenty".