10351467672 has 384 divisors, whose sum is σ = 34854912000. Its totient is φ = 2498895360.

The previous prime is 10351467631. The next prime is 10351467697. The reversal of 10351467672 is 27676415301.

It is a happy number.

It is a super-2 number, since 2×10351467672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 16722579 + ... + 16723197.

It is an arithmetic number, because the mean of its divisors is an integer number (90768000).

Almost surely, 2^10351467672 is an apocalyptic number.

10351467672 is a gapful number since it is divisible by the number (12) 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 10351467672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427456000).

10351467672 is an abundant number, since it is smaller than the sum of its proper divisors (24503444328).

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

10351467672 is a wasteful number, since it uses less digits than its factorization.

10351467672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 10351467672 in words is "ten billion, three hundred fifty-one million, four hundred sixty-seven thousand, six hundred seventy-two".