8387061719040 has 1120 divisors, whose sum is σ = 30786008812416. Its totient is φ = 2192906649600.

The previous prime is 8387061719021. The next prime is 8387061719107. The reversal of 8387061719040 is 409171607838.

8387061719040 is a `hidden beast` number, since 8 + 3 + 8 + 7 + 0 + 617 + 19 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81427783629 + ... + 81427783731.

Almost surely, 2^{8387061719040} is an apocalyptic number.

8387061719040 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 8387061719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393004406208).

8387061719040 is an abundant number, since it is smaller than the sum of its proper divisors (22398947093376).

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

8387061719040 is an frugal number, since it uses more digits than its factorization.

8387061719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 8387061719040 in words is "eight trillion, three hundred eighty-seven billion, sixty-one million, seven hundred nineteen thousand, forty".