7786028006400 has 1584 divisors, whose sum is σ = 31556579249664. Its totient is φ = 1654845603840.

The previous prime is 7786028006371. The next prime is 7786028006459. The reversal of 7786028006400 is 46008206877.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7786028006400.

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, 71431449546 + ... + 71431449654.

Almost surely, 2^{7786028006400} is an apocalyptic number.

7786028006400 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 7786028006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15778289624832).

7786028006400 is an abundant number, since it is smaller than the sum of its proper divisors (23770551243264).

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

7786028006400 is a wasteful number, since it uses less digits than its factorization.

7786028006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 7786028006400 in words is "seven trillion, seven hundred eighty-six billion, twenty-eight million, six thousand, four hundred".