78541276036608 has 3200 divisors, whose sum is σ = 311753486499840. Its totient is φ = 19257506611200.

The previous prime is 78541276036607. The next prime is 78541276036681. The reversal of 78541276036608 is 80663067214587.

78541276036608 is a `hidden beast` number, since 7 + 8 + 5 + 4 + 12 + 7 + 6 + 0 + 3 + 6 + 608 = 666.

It is a super-2 number, since 2×78541276036608² (a number of 29 digits) contains 22 as substring.

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 (78541276036607) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 946280434135 + ... + 946280434217.

Almost surely, 2^{78541276036608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78541276036608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155876743249920).

78541276036608 is an abundant number, since it is smaller than the sum of its proper divisors (233212210463232).

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

78541276036608 is an equidigital number, since it uses as much as digits as its factorization.

78541276036608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 78541276036608 in words is "seventy-eight trillion, five hundred forty-one billion, two hundred seventy-six million, thirty-six thousand, six hundred eight".