872924120640 has 672 divisors, whose sum is σ = 3570045687936. Its totient is φ = 192978616320.

The previous prime is 872924120633. The next prime is 872924120647. The reversal of 872924120640 is 46021429278.

872924120640 is a `hidden beast` number, since 87 + 292 + 41 + 206 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (872924120633) and next prime (872924120647).

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

It is not an unprimeable number, because it can be changed into a prime (872924120647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34169952 + ... + 34195488.

It is an arithmetic number, because the mean of its divisors is an integer number (5312567988).

Almost surely, 2^872924120640 is an apocalyptic number.

872924120640 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 872924120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785022843968).

872924120640 is an abundant number, since it is smaller than the sum of its proper divisors (2697121567296).

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

872924120640 is a wasteful number, since it uses less digits than its factorization.

872924120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25667 (or 25654 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 872924120640 in words is "eight hundred seventy-two billion, nine hundred twenty-four million, one hundred twenty thousand, six hundred forty".