73868820480 has 960 divisors, whose sum is σ = 324125921280. Its totient is φ = 15543042048.

The previous prime is 73868820463. The next prime is 73868820517. The reversal of 73868820480 is 8402886837.

73868820480 is a `hidden beast` number, since 7 + 3 + 86 + 8 + 82 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×73868820480⁴ (a number of 45 digits) contains 4444 as substring.

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 63 ways as a sum of consecutive naturals, for example, 201277257 + ... + 201277623.

It is an arithmetic number, because the mean of its divisors is an integer number (337631168).

Almost surely, 2^73868820480 is an apocalyptic number.

73868820480 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 73868820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162062960640).

73868820480 is an abundant number, since it is smaller than the sum of its proper divisors (250257100800).

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

73868820480 is a wasteful number, since it uses less digits than its factorization.

73868820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 73868820480 in words is "seventy-three billion, eight hundred sixty-eight million, eight hundred twenty thousand, four hundred eighty".