1607640102432 has 360 divisors, whose sum is σ = 5851091828736. Its totient is φ = 423992185344.

The previous prime is 1607640102421. The next prime is 1607640102451. The reversal of 1607640102432 is 2342010467061.

1607640102432 is a `hidden beast` number, since 1 + 6 + 0 + 7 + 6 + 401 + 0 + 243 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2804193 + ... + 3328479.

Almost surely, 2^{1607640102432} is an apocalyptic number.

1607640102432 is a gapful number since it is divisible by the number (12) 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 1607640102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925545914368).

1607640102432 is an abundant number, since it is smaller than the sum of its proper divisors (4243451726304).

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

1607640102432 is a wasteful number, since it uses less digits than its factorization.

1607640102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524342 (or 524312 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 1607640102432 its reverse (2342010467061), we get a palindrome (3949650569493).

The spelling of 1607640102432 in words is "one trillion, six hundred seven billion, six hundred forty million, one hundred two thousand, four hundred thirty-two".