73351474560000 has 5280 divisors, whose sum is σ = 347258191408128. Its totient is φ = 15049359360000.

The previous prime is 73351474559969. The next prime is 73351474560031. The reversal of 73351474560000 is 6547415337.

73351474560000 is a `hidden beast` number, since 7 + 3 + 3 + 5 + 14 + 74 + 560 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73351474559969) and next prime (73351474560031).

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1004814719964 + ... + 1004814720036.

Almost surely, 2^{73351474560000} is an apocalyptic number.

73351474560000 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 73351474560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173629095704064).

73351474560000 is an abundant number, since it is smaller than the sum of its proper divisors (273906716848128).

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

73351474560000 is an equidigital number, since it uses as much as digits as its factorization.

73351474560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 73351474560000 in words is "seventy-three trillion, three hundred fifty-one billion, four hundred seventy-four million, five hundred sixty thousand".