7659666920400 has 360 divisors, whose sum is σ = 27627657258432. Its totient is φ = 1811597568000.

The previous prime is 7659666920393. The next prime is 7659666920413. The reversal of 7659666920400 is 40296669567.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 5309877 + ... + 6596523.

Almost surely, 2^{7659666920400} 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 7659666920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813828629216).

7659666920400 is an abundant number, since it is smaller than the sum of its proper divisors (19967990338032).

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

7659666920400 is a wasteful number, since it uses less digits than its factorization.

7659666920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286731 (or 1286709 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 7659666920400 in words is "seven trillion, six hundred fifty-nine billion, six hundred sixty-six million, nine hundred twenty thousand, four hundred".