87844646400 has 480 divisors, whose sum is σ = 333111322368. Its totient is φ = 19990118400.

The previous prime is 87844646399. The next prime is 87844646423. The reversal of 87844646400 is 464644878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×87844646400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 75532219 + ... + 75533381.

Almost surely, 2^87844646400 is an apocalyptic number.

87844646400 is a gapful number since it is divisible by the number (80) 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 87844646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166555661184).

87844646400 is an abundant number, since it is smaller than the sum of its proper divisors (245266675968).

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

87844646400 is a wasteful number, since it uses less digits than its factorization.

87844646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 87844646400 in words is "eighty-seven billion, eight hundred forty-four million, six hundred forty-six thousand, four hundred".