73782616320 has 648 divisors, whose sum is σ = 309924328896. Its totient is φ = 16128516096.

The previous prime is 73782616319. The next prime is 73782616331. The reversal of 73782616320 is 2361628737.

73782616320 is a `hidden beast` number, since 7 + 3 + 7 + 8 + 2 + 6 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12980199 + ... + 12985881.

Almost surely, 2^73782616320 is an apocalyptic number.

73782616320 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 73782616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154962164448).

73782616320 is an abundant number, since it is smaller than the sum of its proper divisors (236141712576).

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

73782616320 is a wasteful number, since it uses less digits than its factorization.

73782616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 73782616320 in words is "seventy-three billion, seven hundred eighty-two million, six hundred sixteen thousand, three hundred twenty".