73477877760 has 832 divisors, whose sum is σ = 306482319360. Its totient is φ = 16349921280.

The previous prime is 73477877749. The next prime is 73477877761. The reversal of 73477877760 is 6777877437.

It is a super-2 number, since 2×73477877760² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73477877761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158699289 + ... + 158699751.

Almost surely, 2^73477877760 is an apocalyptic number.

73477877760 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 73477877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153241159680).

73477877760 is an abundant number, since it is smaller than the sum of its proper divisors (233004441600).

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

73477877760 is a wasteful number, since it uses less digits than its factorization.

73477877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 67765824, while the sum is 63.

The spelling of 73477877760 in words is "seventy-three billion, four hundred seventy-seven million, eight hundred seventy-seven thousand, seven hundred sixty".