6451380283392 has 384 divisors, whose sum is σ = 20885993856000. Its totient is φ = 1951387729920.

The previous prime is 6451380283373. The next prime is 6451380283409. The reversal of 6451380283392 is 2933820831546.

6451380283392 is a `hidden beast` number, since 6 + 4 + 513 + 8 + 0 + 2 + 8 + 33 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342438709 + ... + 342457547.

It is an arithmetic number, because the mean of its divisors is an integer number (54390609000).

Almost surely, 2^{6451380283392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6451380283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10442996928000).

6451380283392 is an abundant number, since it is smaller than the sum of its proper divisors (14434613572608).

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

6451380283392 is a wasteful number, since it uses less digits than its factorization.

6451380283392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19444 (or 19418 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 6451380283392 in words is "six trillion, four hundred fifty-one billion, three hundred eighty million, two hundred eighty-three thousand, three hundred ninety-two".