876248948736 has 1008 divisors, whose sum is σ = 3203865246816. Its totient is φ = 233910042624.

The previous prime is 876248948693. The next prime is 876248948767. The reversal of 876248948736 is 637849842678.

876248948736 is a `hidden beast` number, since 8 + 7 + 62 + 4 + 89 + 487 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6395977660 + ... + 6395977796.

Almost surely, 2^876248948736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876248948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601932623408).

876248948736 is an abundant number, since it is smaller than the sum of its proper divisors (2327616298080).

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

876248948736 is an frugal number, since it uses more digits than its factorization.

876248948736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 166 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 876248948736 in words is "eight hundred seventy-six billion, two hundred forty-eight million, nine hundred forty-eight thousand, seven hundred thirty-six".