962640806400 has 2880 divisors, whose sum is σ = 4654352102400. Its totient is φ = 191341854720.

The previous prime is 962640806317. The next prime is 962640806423. The reversal of 962640806400 is 4608046269.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5377881511 + ... + 5377881689.

It is an arithmetic number, because the mean of its divisors is an integer number (1616094480).

Almost surely, 2^962640806400 is an apocalyptic number.

962640806400 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 962640806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327176051200).

962640806400 is an abundant number, since it is smaller than the sum of its proper divisors (3691711296000).

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

962640806400 is a wasteful number, since it uses less digits than its factorization.

962640806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 962640806400 in words is "nine hundred sixty-two billion, six hundred forty million, eight hundred six thousand, four hundred".