78402006648 has 480 divisors, whose sum is σ = 271909535040. Its totient is φ = 20971560960.

The previous prime is 78402006629. The next prime is 78402006649. The reversal of 78402006648 is 84660020487.

It is a super-2 number, since 2×78402006648² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78402006649) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 181906993 + ... + 181907423.

It is an arithmetic number, because the mean of its divisors is an integer number (566478198).

Almost surely, 2^78402006648 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 78402006648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135954767520).

78402006648 is an abundant number, since it is smaller than the sum of its proper divisors (193507528392).

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

78402006648 is a wasteful number, since it uses less digits than its factorization.

78402006648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 78402006648 in words is "seventy-eight billion, four hundred two million, six thousand, six hundred forty-eight".