7201676427120 has 400 divisors, whose sum is σ = 28750968480960. Its totient is φ = 1636580671488.

The previous prime is 7201676427109. The next prime is 7201676427161. The reversal of 7201676427120 is 217246761027.

7201676427120 is a `hidden beast` number, since 7 + 20 + 16 + 76 + 427 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7388416 + ... + 8306144.

Almost surely, 2^{7201676427120} is an apocalyptic number.

7201676427120 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 7201676427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14375484240480).

7201676427120 is an abundant number, since it is smaller than the sum of its proper divisors (21549292053840).

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

7201676427120 is a wasteful number, since it uses less digits than its factorization.

7201676427120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917934 (or 917919 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 7201676427120 in words is "seven trillion, two hundred one billion, six hundred seventy-six million, four hundred twenty-seven thousand, one hundred twenty".