42976956274560 has 2048 divisors, whose sum is σ = 192756522700800. Its totient is φ = 8790736896000.

The previous prime is 42976956274537. The next prime is 42976956274573. The reversal of 42976956274560 is 6547265967924.

42976956274560 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 6 + 9 + 56 + 2 + 7 + 4 + 560 = 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 255 ways as a sum of consecutive naturals, for example, 25936605252 + ... + 25936606908.

It is an arithmetic number, because the mean of its divisors is an integer number (94119395850).

Almost surely, 2^{42976956274560} is an apocalyptic number.

42976956274560 is a gapful number since it is divisible by the number (40) 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 42976956274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96378261350400).

42976956274560 is an abundant number, since it is smaller than the sum of its proper divisors (149779566426240).

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

42976956274560 is a wasteful number, since it uses less digits than its factorization.

42976956274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 42976956274560 in words is "forty-two trillion, nine hundred seventy-six billion, nine hundred fifty-six million, two hundred seventy-four thousand, five hundred sixty".