35482463976960 has 5120 divisors, whose sum is σ = 177903493447680. Its totient is φ = 6465650688000.

The previous prime is 35482463976943. The next prime is 35482463976989. The reversal of 35482463976960 is 6967936428453.

35482463976960 is a `hidden beast` number, since 3 + 5 + 4 + 8 + 2 + 463 + 9 + 76 + 96 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 152285253004 + ... + 152285253236.

It is an arithmetic number, because the mean of its divisors is an integer number (34746776064).

Almost surely, 2^{35482463976960} is an apocalyptic number.

35482463976960 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 35482463976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88951746723840).

35482463976960 is an abundant number, since it is smaller than the sum of its proper divisors (142421029470720).

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

35482463976960 is a wasteful number, since it uses less digits than its factorization.

35482463976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 35482463976960 in words is "thirty-five trillion, four hundred eighty-two billion, four hundred sixty-three million, nine hundred seventy-six thousand, nine hundred sixty".