200609377678080 has 4032 divisors, whose sum is σ = 889461728870400. Its totient is φ = 42348897239040.

The previous prime is 200609377678063. The next prime is 200609377678121. The reversal of 200609377678080 is 80876773906002.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×200609377678080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 200609377677999 and 200609377678017.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 745759768186 + ... + 745759768454.

It is an arithmetic number, because the mean of its divisors is an integer number (220600627200).

Almost surely, 2^{200609377678080} is an apocalyptic number.

200609377678080 is a gapful number since it is divisible by the number (20) 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 200609377678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444730864435200).

200609377678080 is an abundant number, since it is smaller than the sum of its proper divisors (688852351192320).

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

200609377678080 is a wasteful number, since it uses less digits than its factorization.

200609377678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 200609377678080 in words is "two hundred trillion, six hundred nine billion, three hundred seventy-seven million, six hundred seventy-eight thousand, eighty".