7672496126400 has 1260 divisors, whose sum is σ = 34533807310200. Its totient is φ = 1661386567680.

The previous prime is 7672496126353. The next prime is 7672496126431. The reversal of 7672496126400 is 46216942767.

7672496126400 is a `hidden beast` number, since 7 + 6 + 7 + 24 + 96 + 126 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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 179 ways as a sum of consecutive naturals, for example, 120625806 + ... + 120689394.

Almost surely, 2^{7672496126400} is an apocalyptic number.

7672496126400 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 7672496126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17266903655100).

7672496126400 is an abundant number, since it is smaller than the sum of its proper divisors (26861311183800).

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

7672496126400 is a wasteful number, since it uses less digits than its factorization.

7672496126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63656 (or 63625 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 7672496126400 in words is "seven trillion, six hundred seventy-two billion, four hundred ninety-six million, one hundred twenty-six thousand, four hundred".