73352860358400 has 648 divisors, whose sum is σ = 302627802247680. Its totient is φ = 16603578408960.

The previous prime is 73352860358369. The next prime is 73352860358431. The reversal of 73352860358400 is 485306825337.

It is a happy number.

73352860358400 is a `hidden beast` number, since 7 + 3 + 3 + 5 + 28 + 603 + 5 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73352860358369) and next prime (73352860358431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40646461 + ... + 42412739.

Almost surely, 2^{73352860358400} is an apocalyptic number.

73352860358400 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 73352860358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151313901123840).

73352860358400 is an abundant number, since it is smaller than the sum of its proper divisors (229274941889280).

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

73352860358400 is a wasteful number, since it uses less digits than its factorization.

73352860358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766421 (or 1766399 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 73352860358400 in words is "seventy-three trillion, three hundred fifty-two billion, eight hundred sixty million, three hundred fifty-eight thousand, four hundred".