967372988400 has 720 divisors, whose sum is σ = 4284824753664. Its totient is φ = 204103203840.

The previous prime is 967372988353. The next prime is 967372988431. The reversal of 967372988400 is 4889273769.

967372988400 is a `hidden beast` number, since 9 + 6 + 73 + 72 + 98 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×967372988400³ (a number of 37 digits) contains 333 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8790517 + ... + 8899883.

Almost surely, 2^967372988400 is an apocalyptic number.

967372988400 is a gapful number since it is divisible by the number (90) 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 967372988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142412376832).

967372988400 is an abundant number, since it is smaller than the sum of its proper divisors (3317451765264).

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

967372988400 is a wasteful number, since it uses less digits than its factorization.

967372988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109420 (or 109397 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 967372988400 in words is "nine hundred sixty-seven billion, three hundred seventy-two million, nine hundred eighty-eight thousand, four hundred".