32778078157440 has 4096 divisors, whose sum is σ = 153385021440000. Its totient is φ = 6554832076800.

The previous prime is 32778078157423. The next prime is 32778078157477. The reversal of 32778078157440 is 4475187087723.

32778078157440 is a `hidden beast` number, since 3 + 2 + 7 + 78 + 0 + 78 + 1 + 57 + 440 = 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 511 ways as a sum of consecutive naturals, for example, 337918331472 + ... + 337918331568.

It is an arithmetic number, because the mean of its divisors is an integer number (37447515000).

Almost surely, 2^{32778078157440} is an apocalyptic number.

32778078157440 is a gapful number since it is divisible by the number (30) 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 32778078157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76692510720000).

32778078157440 is an abundant number, since it is smaller than the sum of its proper divisors (120606943282560).

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

32778078157440 is a wasteful number, since it uses less digits than its factorization.

32778078157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 32778078157440 in words is "thirty-two trillion, seven hundred seventy-eight billion, seventy-eight million, one hundred fifty-seven thousand, four hundred forty".