632088078336 has 1152 divisors, whose sum is σ = 2281367088000. Its totient is φ = 172696043520.

The previous prime is 632088078331. The next prime is 632088078337. The reversal of 632088078336 is 633870880236.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (632088078331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14699722731 + ... + 14699722773.

It is an arithmetic number, because the mean of its divisors is an integer number (1980353375).

Almost surely, 2^632088078336 is an apocalyptic number.

632088078336 is a gapful number since it is divisible by the number (66) 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 632088078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140683544000).

632088078336 is an abundant number, since it is smaller than the sum of its proper divisors (1649279009664).

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

632088078336 is a wasteful number, since it uses less digits than its factorization.

632088078336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 632088078336 in words is "six hundred thirty-two billion, eighty-eight million, seventy-eight thousand, three hundred thirty-six".