7261396632000 has 1680 divisors, whose sum is σ = 31699074154176. Its totient is φ = 1635863040000.

The previous prime is 7261396631987. The next prime is 7261396632029. The reversal of 7261396632000 is 2366931627.

7261396632000 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 3 + 9 + 6 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 2254390390 + ... + 2254393610.

Almost surely, 2^{7261396632000} is an apocalyptic number.

7261396632000 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 7261396632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849537077088).

7261396632000 is an abundant number, since it is smaller than the sum of its proper divisors (24437677522176).

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

7261396632000 is a wasteful number, since it uses less digits than its factorization.

7261396632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 7261396632000 in words is "seven trillion, two hundred sixty-one billion, three hundred ninety-six million, six hundred thirty-two thousand".