4370498076672 has 960 divisors, whose sum is σ = 16065371750400. Its totient is φ = 1143432806400.

The previous prime is 4370498076667. The next prime is 4370498076689. The reversal of 4370498076672 is 2766708940734.

It is a happy number.

4370498076672 is a `hidden beast` number, since 4 + 3 + 7 + 0 + 498 + 0 + 76 + 6 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6078578329 + ... + 6078579047.

It is an arithmetic number, because the mean of its divisors is an integer number (16734762240).

Almost surely, 2^{4370498076672} is an apocalyptic number.

4370498076672 is a gapful number since it is divisible by the number (42) 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 4370498076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032685875200).

4370498076672 is an abundant number, since it is smaller than the sum of its proper divisors (11694873673728).

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

4370498076672 is a wasteful number, since it uses less digits than its factorization.

4370498076672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 4370498076672 in words is "four trillion, three hundred seventy billion, four hundred ninety-eight million, seventy-six thousand, six hundred seventy-two".