32672351520 has 288 divisors, whose sum is σ = 113716721664. Its totient is φ = 8540006400.

The previous prime is 32672351477. The next prime is 32672351567. The reversal of 32672351520 is 2515327623.

32672351520 is a `hidden beast` number, since 3 + 2 + 67 + 23 + 51 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 37858609 + ... + 37859471.

It is an arithmetic number, because the mean of its divisors is an integer number (394849728).

Almost surely, 2^32672351520 is an apocalyptic number.

32672351520 is a gapful number since it is divisible by the number (30) 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 32672351520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56858360832).

32672351520 is an abundant number, since it is smaller than the sum of its proper divisors (81044370144).

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

32672351520 is a wasteful number, since it uses less digits than its factorization.

32672351520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 32672351520 in words is "thirty-two billion, six hundred seventy-two million, three hundred fifty-one thousand, five hundred twenty".