46779580993600 has 567 divisors, whose sum is σ = 145069499431287. Its totient is φ = 14797087119360.

The previous prime is 46779580993573. The next prime is 46779580993601. The reversal of 46779580993600 is 639908597764.

The square root of 46779580993600 is 6839560.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12057506201664 + 34722074791936 = 3472392^2 + 5892544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46779580993601) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 24895997461 + ... + 24895999339.

Almost surely, 2^{46779580993600} is an apocalyptic number.

46779580993600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46779580993600 is the 6839560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46779580993600

46779580993600 is an abundant number, since it is smaller than the sum of its proper divisors (98289918437687).

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

46779580993600 is an equidigital number, since it uses as much as digits as its factorization.

46779580993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 73.

The spelling of 46779580993600 in words is "forty-six trillion, seven hundred seventy-nine billion, five hundred eighty million, nine hundred ninety-three thousand, six hundred".