8316377954640 has 1280 divisors, whose sum is σ = 34232323276800. Its totient is φ = 1816457674752.

The previous prime is 8316377954617. The next prime is 8316377954671. The reversal of 8316377954640 is 464597736138.

It is a happy number.

8316377954640 is a `hidden beast` number, since 8 + 3 + 16 + 3 + 7 + 79 + 546 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6502249521 + ... + 6502250799.

It is an arithmetic number, because the mean of its divisors is an integer number (26744002560).

Almost surely, 2^{8316377954640} is an apocalyptic number.

8316377954640 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 8316377954640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116161638400).

8316377954640 is an abundant number, since it is smaller than the sum of its proper divisors (25915945322160).

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

8316377954640 is a wasteful number, since it uses less digits than its factorization.

8316377954640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 8316377954640 in words is "eight trillion, three hundred sixteen billion, three hundred seventy-seven million, nine hundred fifty-four thousand, six hundred forty".