83757376866240 has 2688 divisors, whose sum is σ = 398241272908800. Its totient is φ = 16340259962880.

The previous prime is 83757376866217. The next prime is 83757376866257. The reversal of 83757376866240 is 4266867375738.

It is a happy number.

83757376866240 is a `hidden beast` number, since 8 + 3 + 7 + 5 + 7 + 376 + 8 + 6 + 6 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9998488932 + ... + 9998497308.

Almost surely, 2^{83757376866240} is an apocalyptic number.

83757376866240 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 83757376866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199120636454400).

83757376866240 is an abundant number, since it is smaller than the sum of its proper divisors (314483896042560).

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

83757376866240 is a wasteful number, since it uses less digits than its factorization.

83757376866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8560 (or 8537 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 83757376866240 in words is "eighty-three trillion, seven hundred fifty-seven billion, three hundred seventy-six million, eight hundred sixty-six thousand, two hundred forty".