73966694400 has 624 divisors, whose sum is σ = 280816312320. Its totient is φ = 19066060800.

The previous prime is 73966694393. The next prime is 73966694429. The reversal of 73966694400 is 449666937.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85708369 + ... + 85709231.

Almost surely, 2^73966694400 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 73966694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140408156160).

73966694400 is an abundant number, since it is smaller than the sum of its proper divisors (206849617920).

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

73966694400 is a wasteful number, since it uses less digits than its factorization.

73966694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 73966694400 in words is "seventy-three billion, nine hundred sixty-six million, six hundred ninety-four thousand, four hundred".