87629818766400 has 315 divisors, whose sum is σ = 322117558806901. Its totient is φ = 23367053007360.

The previous prime is 87629818766383. The next prime is 87629818766411. The reversal of 87629818766400 is 466781892678.

The square root of 87629818766400 is 9361080.

It is a perfect power (a square), and thus also a powerful number.

87629818766400 is a `hidden beast` number, since 8 + 7 + 6 + 2 + 9 + 81 + 87 + 66 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31546734755904 + 56083084010496 = 5616648^2 + 7488864^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3369975799 + ... + 3370001801.

Almost surely, 2^{87629818766400} is an apocalyptic number.

87629818766400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87629818766400 is the 9361080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87629818766400

87629818766400 is an abundant number, since it is smaller than the sum of its proper divisors (234487740040501).

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

87629818766400 is an frugal number, since it uses more digits than its factorization.

87629818766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52040 (or 26013 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 87629818766400 in words is "eighty-seven trillion, six hundred twenty-nine billion, eight hundred eighteen million, seven hundred sixty-six thousand, four hundred".