1477927956960 has 2160 divisors, whose sum is σ = 6732737516736. Its totient is φ = 304150339584.

The previous prime is 1477927956959. The next prime is 1477927956979. The reversal of 1477927956960 is 696597297741.

1477927956960 is a `hidden beast` number, since 1 + 477 + 9 + 2 + 7 + 95 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×1477927956960² (a number of 25 digits) contains 22 as substring.

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 359 ways as a sum of consecutive naturals, for example, 5044122574 + ... + 5044122866.

Almost surely, 2^{1477927956960} is an apocalyptic number.

1477927956960 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 1477927956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366368758368).

1477927956960 is an abundant number, since it is smaller than the sum of its proper divisors (5254809559776).

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

1477927956960 is a wasteful number, since it uses less digits than its factorization.

1477927956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 1477927956960 in words is "one trillion, four hundred seventy-seven billion, nine hundred twenty-seven million, nine hundred fifty-six thousand, nine hundred sixty".