83784010664640 has 1344 divisors, whose sum is σ = 324881823200256. Its totient is φ = 18034274304000.

The previous prime is 83784010664633. The next prime is 83784010664657. The reversal of 83784010664640 is 4646601048738.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22823210005 + ... + 22823213675.

It is an arithmetic number, because the mean of its divisors is an integer number (241727547024).

Almost surely, 2^{83784010664640} is an apocalyptic number.

83784010664640 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 83784010664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162440911600128).

83784010664640 is an abundant number, since it is smaller than the sum of its proper divisors (241097812535616).

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

83784010664640 is a wasteful number, since it uses less digits than its factorization.

83784010664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 83784010664640 in words is "eighty-three trillion, seven hundred eighty-four billion, ten million, six hundred sixty-four thousand, six hundred forty".