73773668966400 has 1512 divisors, whose sum is σ = 292294969424640. Its totient is φ = 17769769205760.

The previous prime is 73773668966383. The next prime is 73773668966477. The reversal of 73773668966400 is 466986637737.

73773668966400 is a `hidden beast` number, since 7 + 3 + 7 + 73 + 6 + 68 + 96 + 6 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14640535081 + ... + 14640540119.

It is an arithmetic number, because the mean of its divisors is an integer number (193316778720).

Almost surely, 2^{73773668966400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73773668966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146147484712320).

73773668966400 is an abundant number, since it is smaller than the sum of its proper divisors (218521300458240).

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

73773668966400 is a wasteful number, since it uses less digits than its factorization.

73773668966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 72.

The spelling of 73773668966400 in words is "seventy-three trillion, seven hundred seventy-three billion, six hundred sixty-eight million, nine hundred sixty-six thousand, four hundred".