73541381760 has 1024 divisors, whose sum is σ = 341936640000. Its totient is φ = 14472069120.

The previous prime is 73541381689. The next prime is 73541381783. The reversal of 73541381760 is 6718314537.

73541381760 is a `hidden beast` number, since 7 + 3 + 541 + 38 + 1 + 76 + 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25279186 + ... + 25282094.

It is an arithmetic number, because the mean of its divisors is an integer number (333922500).

Almost surely, 2^73541381760 is an apocalyptic number.

73541381760 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 73541381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170968320000).

73541381760 is an abundant number, since it is smaller than the sum of its proper divisors (268395258240).

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

73541381760 is a wasteful number, since it uses less digits than its factorization.

73541381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 73541381760 in words is "seventy-three billion, five hundred forty-one million, three hundred eighty-one thousand, seven hundred sixty".