73978204608 has 672 divisors, whose sum is σ = 276569180160. Its totient is φ = 19046845440.

The previous prime is 73978204541. The next prime is 73978204627. The reversal of 73978204608 is 80640287937.

73978204608 is a `hidden beast` number, since 7 + 3 + 9 + 7 + 8 + 20 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×73978204608² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195192963 + ... + 195193341.

It is an arithmetic number, because the mean of its divisors is an integer number (411561280).

Almost surely, 2^73978204608 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 73978204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138284590080).

73978204608 is an abundant number, since it is smaller than the sum of its proper divisors (202590975552).

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

73978204608 is a wasteful number, since it uses less digits than its factorization.

73978204608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 73978204608 in words is "seventy-three billion, nine hundred seventy-eight million, two hundred four thousand, six hundred eight".