12978080640 has 384 divisors, whose sum is σ = 51704452800. Its totient is φ = 2938208256.

The previous prime is 12978080629. The next prime is 12978080641. The reversal of 12978080640 is 4608087921.

12978080640 = T₄₅₇ + T₄₅₈ + ... + T₄₂₇₁.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12978080641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4393404 + ... + 4396356.

Almost surely, 2^12978080640 is an apocalyptic number.

12978080640 is a gapful number since it is divisible by the number (10) 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 12978080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25852226400).

12978080640 is an abundant number, since it is smaller than the sum of its proper divisors (38726372160).

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

12978080640 is a wasteful number, since it uses less digits than its factorization.

12978080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12978080640 in words is "twelve billion, nine hundred seventy-eight million, eighty thousand, six hundred forty".