83270532774744 has 1344 divisors, whose sum is σ = 288656222883840. Its totient is φ = 22399456020480.

The previous prime is 83270532774691. The next prime is 83270532774757. The reversal of 83270532774744 is 44747723507238.

83270532774744 is a `hidden beast` number, since 8 + 3 + 27 + 0 + 532 + 7 + 7 + 4 + 74 + 4 = 666.

It is a super-3 number, since 3×83270532774744³ (a number of 43 digits) contains 333 as substring.

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 141857806819 + ... + 141857807405.

It is an arithmetic number, because the mean of its divisors is an integer number (214773975360).

Almost surely, 2^{83270532774744} is an apocalyptic number.

83270532774744 is a gapful number since it is divisible by the number (84) 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 83270532774744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144328111441920).

83270532774744 is an abundant number, since it is smaller than the sum of its proper divisors (205385690109096).

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

83270532774744 is a wasteful number, since it uses less digits than its factorization.

83270532774744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 221276160, while the sum is 63.

The spelling of 83270532774744 in words is "eighty-three trillion, two hundred seventy billion, five hundred thirty-two million, seven hundred seventy-four thousand, seven hundred forty-four".