83437063680 has 240 divisors, whose sum is σ = 271422409104. Its totient is φ = 21865758720.

The previous prime is 83437063649. The next prime is 83437063687. The reversal of 83437063680 is 8636073438.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×83437063680³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83437063687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26732520 + ... + 26735640.

Almost surely, 2^83437063680 is an apocalyptic number.

83437063680 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 83437063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135711204552).

83437063680 is an abundant number, since it is smaller than the sum of its proper divisors (187985345424).

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

83437063680 is an equidigital number, since it uses as much as digits as its factorization.

83437063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 83437063680 in words is "eighty-three billion, four hundred thirty-seven million, sixty-three thousand, six hundred eighty".