73480796928000 has 3456 divisors, whose sum is σ = 341999983503360. Its totient is φ = 14741913600000.

The previous prime is 73480796927899. The next prime is 73480796928023. The reversal of 73480796928000 is 82969708437.

73480796928000 is a `hidden beast` number, since 7 + 3 + 480 + 79 + 6 + 9 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 170489087785 + ... + 170489088215.

It is an arithmetic number, because the mean of its divisors is an integer number (98958328560).

Almost surely, 2^{73480796928000} is an apocalyptic number.

73480796928000 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 73480796928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170999991751680).

73480796928000 is an abundant number, since it is smaller than the sum of its proper divisors (268519186575360).

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

73480796928000 is a wasteful number, since it uses less digits than its factorization.

73480796928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 73480796928000 in words is "seventy-three trillion, four hundred eighty billion, seven hundred ninety-six million, nine hundred twenty-eight thousand".