42977299680 has 768 divisors, whose sum is σ = 179373035520. Its totient is φ = 9405849600.

The previous prime is 42977299669. The next prime is 42977299723. The reversal of 42977299680 is 8699277924.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79440210 + ... + 79440750.

It is an arithmetic number, because the mean of its divisors is an integer number (233558640).

Almost surely, 2^42977299680 is an apocalyptic number.

42977299680 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 42977299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89686517760).

42977299680 is an abundant number, since it is smaller than the sum of its proper divisors (136395735840).

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

42977299680 is a wasteful number, since it uses less digits than its factorization.

42977299680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 42977299680 in words is "forty-two billion, nine hundred seventy-seven million, two hundred ninety-nine thousand, six hundred eighty".