820372371840 has 1024 divisors, whose sum is σ = 3444253747200. Its totient is φ = 180645396480.

The previous prime is 820372371823. The next prime is 820372371857. The reversal of 820372371840 is 48173273028.

820372371840 is a `hidden beast` number, since 8 + 203 + 72 + 371 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (820372371823) and next prime (820372371857).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 411625884 + ... + 411627876.

It is an arithmetic number, because the mean of its divisors is an integer number (3363529050).

Almost surely, 2^820372371840 is an apocalyptic number.

820372371840 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 820372371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722126873600).

820372371840 is an abundant number, since it is smaller than the sum of its proper divisors (2623881375360).

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

820372371840 is a wasteful number, since it uses less digits than its factorization.

820372371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 820372371840 in words is "eight hundred twenty billion, three hundred seventy-two million, three hundred seventy-one thousand, eight hundred forty".