38907455646960 has 240 divisors, whose sum is σ = 131740940897280. Its totient is φ = 10289883340800.

The previous prime is 38907455646907. The next prime is 38907455646971. The reversal of 38907455646960 is 6964655470983.

38907455646960 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 7 + 4 + 556 + 4 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256047486 + ... + 256199394.

It is an arithmetic number, because the mean of its divisors is an integer number (548920587072).

Almost surely, 2^{38907455646960} is an apocalyptic number.

38907455646960 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 38907455646960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65870470448640).

38907455646960 is an abundant number, since it is smaller than the sum of its proper divisors (92833485250320).

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

38907455646960 is a wasteful number, since it uses less digits than its factorization.

38907455646960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154856 (or 154847 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 38907455646960 in words is "thirty-eight trillion, nine hundred seven billion, four hundred fifty-five million, six hundred forty-six thousand, nine hundred sixty".