73846106880 has 1152 divisors, whose sum is σ = 318052417536. Its totient is φ = 14155776000.

The previous prime is 73846106869. The next prime is 73846106903. The reversal of 73846106880 is 8860164837.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184154680 + ... + 184155080.

It is an arithmetic number, because the mean of its divisors is an integer number (276087168).

Almost surely, 2^73846106880 is an apocalyptic number.

73846106880 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 73846106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159026208768).

73846106880 is an abundant number, since it is smaller than the sum of its proper divisors (244206310656).

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

73846106880 is a wasteful number, since it uses less digits than its factorization.

73846106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 73846106880 in words is "seventy-three billion, eight hundred forty-six million, one hundred six thousand, eight hundred eighty".