962920742400 has 720 divisors, whose sum is σ = 3587868267984. Its totient is φ = 255759482880.

The previous prime is 962920742347. The next prime is 962920742453. The reversal of 962920742400 is 4247029269.

It is a happy number.

962920742400 is a `hidden beast` number, since 96 + 2 + 92 + 0 + 74 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (962920742347) and next prime (962920742453).

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

It is a super-2 number, since 2×962920742400² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1097970762 + ... + 1097971638.

Almost surely, 2^962920742400 is an apocalyptic number.

962920742400 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 962920742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793934133992).

962920742400 is an abundant number, since it is smaller than the sum of its proper divisors (2624947525584).

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

962920742400 is an equidigital number, since it uses as much as digits as its factorization.

962920742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 962920742400 in words is "nine hundred sixty-two billion, nine hundred twenty million, seven hundred forty-two thousand, four hundred".