73812695040000 has 1500 divisors, whose sum is σ = 314952659125104. Its totient is φ = 16870146048000.

The previous prime is 73812695039987. The next prime is 73812695040079. The reversal of 73812695040000 is 4059621837.

73812695040000 is a `hidden beast` number, since 7 + 3 + 81 + 2 + 69 + 504 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1500).

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

It is a congruent 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 99 ways as a sum of consecutive naturals, for example, 5806073644 + ... + 5806086356.

It is a 2-persistent number, because it is pandigital, and so is 2⋅73812695040000 = 147625390080000, but 3⋅73812695040000 = 221438085120000 is not.

Almost surely, 2^{73812695040000} is an apocalyptic number.

73812695040000 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 73812695040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157476329562552).

73812695040000 is an abundant number, since it is smaller than the sum of its proper divisors (241139964085104).

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

73812695040000 is an frugal number, since it uses more digits than its factorization.

73812695040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12780 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 73812695040000 in words is "seventy-three trillion, eight hundred twelve billion, six hundred ninety-five million, forty thousand".