1632915348480 has 704 divisors, whose sum is σ = 6269361638400. Its totient is φ = 400670392320.

The previous prime is 1632915348473. The next prime is 1632915348487. The reversal of 1632915348480 is 848435192361.

It is a happy number.

1632915348480 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 9 + 153 + 4 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1632915348473) and next prime (1632915348487).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1632915348487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645164815 + ... + 645167345.

Almost surely, 2^{1632915348480} is an apocalyptic number.

1632915348480 is a gapful number since it is divisible by the number (10) 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 1632915348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134680819200).

1632915348480 is an abundant number, since it is smaller than the sum of its proper divisors (4636446289920).

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

1632915348480 is a wasteful number, since it uses less digits than its factorization.

1632915348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1632915348480 in words is "one trillion, six hundred thirty-two billion, nine hundred fifteen million, three hundred forty-eight thousand, four hundred eighty".