816670200640 has 224 divisors, whose sum is σ = 2234155714560. Its totient is φ = 278538061824.

The previous prime is 816670200637. The next prime is 816670200659. The reversal of 816670200640 is 46002076618.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×816670200640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 816670200593 and 816670200602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508194717 + ... + 508196323.

It is an arithmetic number, because the mean of its divisors is an integer number (9973909440).

Almost surely, 2^816670200640 is an apocalyptic number.

816670200640 is a gapful number since it is divisible by the number (80) 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 816670200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117077857280).

816670200640 is an abundant number, since it is smaller than the sum of its proper divisors (1417485513920).

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

816670200640 is a wasteful number, since it uses less digits than its factorization.

816670200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 816670200640 in words is "eight hundred sixteen billion, six hundred seventy million, two hundred thousand, six hundred forty".