3632478591456 has 1536 divisors, whose sum is σ = 13399852032000. Its totient is φ = 941978419200.

The previous prime is 3632478591451. The next prime is 3632478591491. The reversal of 3632478591456 is 6541958742363.

3632478591456 is a `hidden beast` number, since 3 + 6 + 3 + 24 + 78 + 5 + 91 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3632478591393 and 3632478591402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3632478591451) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11605362756 + ... + 11605363068.

It is an arithmetic number, because the mean of its divisors is an integer number (8723862000).

Almost surely, 2^{3632478591456} is an apocalyptic number.

3632478591456 is a gapful number since it is divisible by the number (36) 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 3632478591456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699926016000).

3632478591456 is an abundant number, since it is smaller than the sum of its proper divisors (9767373440544).

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

3632478591456 is a wasteful number, since it uses less digits than its factorization.

3632478591456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 3632478591456 in words is "three trillion, six hundred thirty-two billion, four hundred seventy-eight million, five hundred ninety-one thousand, four hundred fifty-six".