7276643942400 has 1836 divisors, whose sum is σ = 31529432086152. Its totient is φ = 1658773831680.

The previous prime is 7276643942387. The next prime is 7276643942411. The reversal of 7276643942400 is 42493466727.

7276643942400 is a `hidden beast` number, since 7 + 2 + 7 + 6 + 6 + 4 + 394 + 240 + 0 = 666.

It is a super-2 number, since 2×7276643942400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19508428614 + ... + 19508428986.

Almost surely, 2^{7276643942400} is an apocalyptic number.

7276643942400 is a gapful number since it is divisible by the number (70) 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 7276643942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764716043076).

7276643942400 is an abundant number, since it is smaller than the sum of its proper divisors (24252788143752).

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

7276643942400 is an frugal number, since it uses more digits than its factorization.

7276643942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 7276643942400 in words is "seven trillion, two hundred seventy-six billion, six hundred forty-three million, nine hundred forty-two thousand, four hundred".