73662541780800 has 1008 divisors, whose sum is σ = 296986173900480. Its totient is φ = 15893950464000.

The previous prime is 73662541780769. The next prime is 73662541780823. The reversal of 73662541780800 is 808714526637.

73662541780800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1255703470 + ... + 1255762130.

Almost surely, 2^{73662541780800} is an apocalyptic number.

73662541780800 is a gapful number since it is divisible by the number (70) 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 73662541780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148493086950240).

73662541780800 is an abundant number, since it is smaller than the sum of its proper divisors (223323632119680).

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

73662541780800 is a wasteful number, since it uses less digits than its factorization.

73662541780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59000 (or 58978 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 73662541780800 in words is "seventy-three trillion, six hundred sixty-two billion, five hundred forty-one million, seven hundred eighty thousand, eight hundred".