73375434624 has 256 divisors, whose sum is σ = 210943180800. Its totient is φ = 22532167680.

The previous prime is 73375434619. The next prime is 73375434653. The reversal of 73375434624 is 42643457337.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72006787 + ... + 72007805.

It is an arithmetic number, because the mean of its divisors is an integer number (823996800).

Almost surely, 2^73375434624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73375434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105471590400).

73375434624 is an abundant number, since it is smaller than the sum of its proper divisors (137567746176).

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

73375434624 is a wasteful number, since it uses less digits than its factorization.

73375434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1341 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 48.

The spelling of 73375434624 in words is "seventy-three billion, three hundred seventy-five million, four hundred thirty-four thousand, six hundred twenty-four".