87746630400 has 1728 divisors, whose sum is σ = 390889981440. Its totient is φ = 18977587200.

The previous prime is 87746630393. The next prime is 87746630423. The reversal of 87746630400 is 403664778.

87746630400 is a `hidden beast` number, since 8 + 7 + 7 + 4 + 6 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×87746630400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1309651167 + ... + 1309651233.

It is an arithmetic number, because the mean of its divisors is an integer number (226209480).

Almost surely, 2^87746630400 is an apocalyptic number.

87746630400 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 87746630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195444990720).

87746630400 is an abundant number, since it is smaller than the sum of its proper divisors (303143351040).

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

87746630400 is a wasteful number, since it uses less digits than its factorization.

87746630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 87746630400 in words is "eighty-seven billion, seven hundred forty-six million, six hundred thirty thousand, four hundred".