78909212672640 has 1536 divisors, whose sum is σ = 328774723200000. Its totient is φ = 17833565159424.

The previous prime is 78909212672621. The next prime is 78909212672651. The reversal of 78909212672640 is 4627621290987.

78909212672640 is a `hidden beast` number, since 7 + 8 + 90 + 9 + 21 + 267 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30152544612 + ... + 30152547228.

It is an arithmetic number, because the mean of its divisors is an integer number (214046043750).

Almost surely, 2^{78909212672640} is an apocalyptic number.

78909212672640 is a gapful number since it is divisible by the number (70) 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 78909212672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164387361600000).

78909212672640 is an abundant number, since it is smaller than the sum of its proper divisors (249865510527360).

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

78909212672640 is a wasteful number, since it uses less digits than its factorization.

78909212672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 78909212672640 in words is "seventy-eight trillion, nine hundred nine billion, two hundred twelve million, six hundred seventy-two thousand, six hundred forty".