610201663621920 has 288 divisors, whose sum is σ = 2104726567978944. Its totient is φ = 160971722496000.

The previous prime is 610201663621903. The next prime is 610201663621973. The reversal of 610201663621920 is 29126366102016.

610201663621920 is a `hidden beast` number, since 6 + 1 + 0 + 2 + 0 + 1 + 6 + 636 + 2 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 168518799 + ... + 172101681.

It is an arithmetic number, because the mean of its divisors is an integer number (7308078361038).

Almost surely, 2^{610201663621920} is an apocalyptic number.

610201663621920 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 610201663621920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052363283989472).

610201663621920 is an abundant number, since it is smaller than the sum of its proper divisors (1494524904357024).

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

610201663621920 is a wasteful number, since it uses less digits than its factorization.

610201663621920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584176 (or 3584165 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 610201663621920 in words is "six hundred ten trillion, two hundred one billion, six hundred sixty-three million, six hundred twenty-one thousand, nine hundred twenty".