32076076032 has 1408 divisors, whose sum is σ = 136457932800. Its totient is φ = 7166361600.

The previous prime is 32076076027. The next prime is 32076076073. The reversal of 32076076032 is 23067067023.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×32076076032² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 525837282 + ... + 525837342.

Almost surely, 2^32076076032 is an apocalyptic number.

32076076032 is a gapful number since it is divisible by the number (32) 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 32076076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68228966400).

32076076032 is an abundant number, since it is smaller than the sum of its proper divisors (104381856768).

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

32076076032 is a wasteful number, since it uses less digits than its factorization.

32076076032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

Subtracting from 32076076032 its reverse (23067067023), we obtain a palindrome (9009009009).

The spelling of 32076076032 in words is "thirty-two billion, seventy-six million, seventy-six thousand, thirty-two".