820202946840 has 128 divisors (see below), whose sum is σ = 2755537920000. Its totient is φ = 216998538624.

The previous prime is 820202946781. The next prime is 820202946841. The reversal of 820202946840 is 48649202028.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820202946841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2852790 + ... + 3127109.

It is an arithmetic number, because the mean of its divisors is an integer number (21527640000).

Almost surely, 2^820202946840 is an apocalyptic number.

It is an amenable number.

820202946840 is an abundant number, since it is smaller than the sum of its proper divisors (1935334973160).

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

820202946840 is a wasteful number, since it uses less digits than its factorization.

820202946840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980046 (or 5980036 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 820202946840 in words is "eight hundred twenty billion, two hundred two million, nine hundred forty-six thousand, eight hundred forty".