87764343146496 has 480 divisors, whose sum is σ = 271655728344000. Its totient is φ = 28196968955904.

The previous prime is 87764343146479. The next prime is 87764343146497. The reversal of 87764343146496 is 69464134346778.

87764343146496 is a `hidden beast` number, since 8 + 7 + 7 + 6 + 43 + 4 + 31 + 464 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (87764343146497) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2823895885 + ... + 2823926963.

It is an arithmetic number, because the mean of its divisors is an integer number (565949434050).

Almost surely, 2^{87764343146496} 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 87764343146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135827864172000).

87764343146496 is an abundant number, since it is smaller than the sum of its proper divisors (183891385197504).

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

87764343146496 is a wasteful number, since it uses less digits than its factorization.

87764343146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31729 (or 31700 counting only the distinct ones).

The product of its digits is 1755758592, while the sum is 72.

The spelling of 87764343146496 in words is "eighty-seven trillion, seven hundred sixty-four billion, three hundred forty-three million, one hundred forty-six thousand, four hundred ninety-six".