73679557770 has 320 divisors, whose sum is σ = 246941291520. Its totient is φ = 15347584512.

The previous prime is 73679557753. The next prime is 73679557781. The reversal of 73679557770 is 7775597637.

73679557770 is a `hidden beast` number, since 7 + 3 + 6 + 7 + 9 + 557 + 7 + 70 = 666.

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 junction number, because it is equal to n+sod(n) for n = 73679557698 and 73679557707.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5816764 + ... + 5829416.

It is an arithmetic number, because the mean of its divisors is an integer number (771691536).

Almost surely, 2^73679557770 is an apocalyptic number.

73679557770 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73679557770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123470645760).

73679557770 is an abundant number, since it is smaller than the sum of its proper divisors (173261733750).

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

73679557770 is a wasteful number, since it uses less digits than its factorization.

73679557770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12771 (or 12762 counting only the distinct ones).

The product of its (nonzero) digits is 68068350, while the sum is 63.

The spelling of 73679557770 in words is "seventy-three billion, six hundred seventy-nine million, five hundred fifty-seven thousand, seven hundred seventy".