65978279136 has 672 divisors, whose sum is σ = 253524515328. Its totient is φ = 16381854720.

The previous prime is 65978279083. The next prime is 65978279137. The reversal of 65978279136 is 63197287956.

65978279136 is a `hidden beast` number, since 6 + 597 + 8 + 2 + 7 + 9 + 1 + 36 = 666.

65978279136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 (65978279137) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41313090 + ... + 41314686.

It is an arithmetic number, because the mean of its divisors is an integer number (377268624).

Almost surely, 2^65978279136 is an apocalyptic number.

65978279136 is a gapful number since it is divisible by the number (66) 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 65978279136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126762257664).

65978279136 is an abundant number, since it is smaller than the sum of its proper divisors (187546236192).

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

65978279136 is a wasteful number, since it uses less digits than its factorization.

65978279136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1643 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 65978279136 in words is "sixty-five billion, nine hundred seventy-eight million, two hundred seventy-nine thousand, one hundred thirty-six".