83427709956480 has 384 divisors, whose sum is σ = 288556057389600. Its totient is φ = 22211140976640.

The previous prime is 83427709956457. The next prime is 83427709956491. The reversal of 83427709956480 is 8465990772438.

83427709956480 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 7 + 7 + 0 + 99 + 56 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 83427709956399 and 83427709956408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18973777642 + ... + 18973782038.

Almost surely, 2^{83427709956480} is an apocalyptic number.

83427709956480 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 83427709956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144278028694800).

83427709956480 is an abundant number, since it is smaller than the sum of its proper divisors (205128347433120).

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

83427709956480 is a wasteful number, since it uses less digits than its factorization.

83427709956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 83427709956480 in words is "eighty-three trillion, four hundred twenty-seven billion, seven hundred nine million, nine hundred fifty-six thousand, four hundred eighty".