65878735104 has 1152 divisors, whose sum is σ = 260593320960. Its totient is φ = 15925248000.

The previous prime is 65878735103. The next prime is 65878735127. The reversal of 65878735104 is 40153787856.

It is a happy number.

65878735104 is a `hidden beast` number, since 6 + 58 + 7 + 8 + 73 + 510 + 4 = 666.

65878735104 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 (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (65878735103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 652264654 + ... + 652264754.

It is an arithmetic number, because the mean of its divisors is an integer number (226209480).

Almost surely, 2^65878735104 is an apocalyptic number.

65878735104 is a gapful number since it is divisible by the number (64) 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 65878735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130296660480).

65878735104 is an abundant number, since it is smaller than the sum of its proper divisors (194714585856).

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

65878735104 is a wasteful number, since it uses less digits than its factorization.

65878735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 65878735104 in words is "sixty-five billion, eight hundred seventy-eight million, seven hundred thirty-five thousand, one hundred four".