74984616000 has 1120 divisors, whose sum is σ = 323418061824. Its totient is φ = 16796160000.

The previous prime is 74984615999. The next prime is 74984616053. The reversal of 74984616000 is 61648947.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 276695865 + ... + 276696135.

Almost surely, 2^74984616000 is an apocalyptic number.

74984616000 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 74984616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161709030912).

74984616000 is an abundant number, since it is smaller than the sum of its proper divisors (248433445824).

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

74984616000 is a wasteful number, since it uses less digits than its factorization.

74984616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 74984616000 in words is "seventy-four billion, nine hundred eighty-four million, six hundred sixteen thousand".