78577147645440 has 1280 divisors, whose sum is σ = 290013723648000. Its totient is φ = 18045854023680.

The previous prime is 78577147645429. The next prime is 78577147645453. The reversal of 78577147645440 is 4454674177587.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4853728866 + ... + 4853745054.

It is an arithmetic number, because the mean of its divisors is an integer number (226573221600).

Almost surely, 2^{78577147645440} 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 78577147645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145006861824000).

78577147645440 is an abundant number, since it is smaller than the sum of its proper divisors (211436576002560).

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

78577147645440 is a wasteful number, since it uses less digits than its factorization.

78577147645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16331 (or 16315 counting only the distinct ones).

The product of its (nonzero) digits is 737587200, while the sum is 69.

The spelling of 78577147645440 in words is "seventy-eight trillion, five hundred seventy-seven billion, one hundred forty-seven million, six hundred forty-five thousand, four hundred forty".